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Finding the Third Proportional to 267,970,576.64 and 580,459,034.25

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Solution

The third proportional to 267,970,576.64 and 580,459,034.25 is: 1,257,349,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,576.64 : 580,459,034.25 = 580,459,034.25 : x
  2. Step 2: Convert to fraction form
    267,970,576.64/580,459,034.25 = 580,459,034.25/x
  3. Step 3: Cross multiply
    267,970,576.64x = 580,459,034.25 × 580,459,034.25
  4. Step 4: Simplify right side
    267,970,576.64x = 336,932,690,442,442,688
  5. Step 5: Solve for x
    x = 336,932,690,442,442,688/267,970,576.64
  6. Step 6: Final answer
    x = 1,257,349,574.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.