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Finding the Third Proportional to 287,956,966 and 463,705,593

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Solution

The third proportional to 287,956,966 and 463,705,593 is: 746,718,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,956,966 : 463,705,593 = 463,705,593 : x
  2. Step 2: Convert to fraction form
    287,956,966/463,705,593 = 463,705,593/x
  3. Step 3: Cross multiply
    287,956,966x = 463,705,593 × 463,705,593
  4. Step 4: Simplify right side
    287,956,966x = 215,022,876,979,481,664
  5. Step 5: Solve for x
    x = 215,022,876,979,481,664/287,956,966
  6. Step 6: Final answer
    x = 746,718,789.15

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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.