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Finding the Third Proportional to 502,376,049 and 678,541,216

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Solution

The third proportional to 502,376,049 and 678,541,216 is: 916,481,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,376,049 : 678,541,216 = 678,541,216 : x
  2. Step 2: Convert to fraction form
    502,376,049/678,541,216 = 678,541,216/x
  3. Step 3: Cross multiply
    502,376,049x = 678,541,216 × 678,541,216
  4. Step 4: Simplify right side
    502,376,049x = 460,418,181,810,758,656
  5. Step 5: Solve for x
    x = 460,418,181,810,758,656/502,376,049
  6. Step 6: Final answer
    x = 916,481,155.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.