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Finding the Third Proportional to 431,292,624 and 616,753,476

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Solution

The third proportional to 431,292,624 and 616,753,476 is: 881,964,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,292,624 : 616,753,476 = 616,753,476 : x
  2. Step 2: Convert to fraction form
    431,292,624/616,753,476 = 616,753,476/x
  3. Step 3: Cross multiply
    431,292,624x = 616,753,476 × 616,753,476
  4. Step 4: Simplify right side
    431,292,624x = 380,384,850,158,082,560
  5. Step 5: Solve for x
    x = 380,384,850,158,082,560/431,292,624
  6. Step 6: Final answer
    x = 881,964,654.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.