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Finding the Third Proportional to 342,877,952 and 517,505,584

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Solution

The third proportional to 342,877,952 and 517,505,584 is: 781,071,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,877,952 : 517,505,584 = 517,505,584 : x
  2. Step 2: Convert to fraction form
    342,877,952/517,505,584 = 517,505,584/x
  3. Step 3: Cross multiply
    342,877,952x = 517,505,584 × 517,505,584
  4. Step 4: Simplify right side
    342,877,952x = 267,812,029,471,181,056
  5. Step 5: Solve for x
    x = 267,812,029,471,181,056/342,877,952
  6. Step 6: Final answer
    x = 781,071,013.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.