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Finding the Third Proportional to 349,500,576 and 582,431,120

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Solution

The third proportional to 349,500,576 and 582,431,120 is: 970,602,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,500,576 : 582,431,120 = 582,431,120 : x
  2. Step 2: Convert to fraction form
    349,500,576/582,431,120 = 582,431,120/x
  3. Step 3: Cross multiply
    349,500,576x = 582,431,120 × 582,431,120
  4. Step 4: Simplify right side
    349,500,576x = 339,226,009,544,454,400
  5. Step 5: Solve for x
    x = 339,226,009,544,454,400/349,500,576
  6. Step 6: Final answer
    x = 970,602,147.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.