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Finding the Third Proportional to 431,935,445 and 695,558,384

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Solution

The third proportional to 431,935,445 and 695,558,384 is: 1,120,078,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,935,445 : 695,558,384 = 695,558,384 : x
  2. Step 2: Convert to fraction form
    431,935,445/695,558,384 = 695,558,384/x
  3. Step 3: Cross multiply
    431,935,445x = 695,558,384 × 695,558,384
  4. Step 4: Simplify right side
    431,935,445x = 483,801,465,552,691,456
  5. Step 5: Solve for x
    x = 483,801,465,552,691,456/431,935,445
  6. Step 6: Final answer
    x = 1,120,078,176.39

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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.