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Finding the Third Proportional to 360,074 and 580,013

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Solution

The third proportional to 360,074 and 580,013 is: 934,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,074 : 580,013 = 580,013 : x
  2. Step 2: Convert to fraction form
    360,074/580,013 = 580,013/x
  3. Step 3: Cross multiply
    360,074x = 580,013 × 580,013
  4. Step 4: Simplify right side
    360,074x = 336,415,080,169
  5. Step 5: Solve for x
    x = 336,415,080,169/360,074
  6. Step 6: Final answer
    x = 934,294.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.