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Finding the Third Proportional to 287,956,964 and 463,705,590

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Solution

The third proportional to 287,956,964 and 463,705,590 is: 746,718,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,956,964 : 463,705,590 = 463,705,590 : x
  2. Step 2: Convert to fraction form
    287,956,964/463,705,590 = 463,705,590/x
  3. Step 3: Cross multiply
    287,956,964x = 463,705,590 × 463,705,590
  4. Step 4: Simplify right side
    287,956,964x = 215,022,874,197,248,096
  5. Step 5: Solve for x
    x = 215,022,874,197,248,096/287,956,964
  6. Step 6: Final answer
    x = 746,718,784.68

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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.