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Finding the Third Proportional to 393,398,691 and 577,343,404.50

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Solution

The third proportional to 393,398,691 and 577,343,404.50 is: 847,296,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,398,691 : 577,343,404.50 = 577,343,404.50 : x
  2. Step 2: Convert to fraction form
    393,398,691/577,343,404.50 = 577,343,404.50/x
  3. Step 3: Cross multiply
    393,398,691x = 577,343,404.50 × 577,343,404.50
  4. Step 4: Simplify right side
    393,398,691x = 333,325,406,719,650,624
  5. Step 5: Solve for x
    x = 333,325,406,719,650,624/393,398,691
  6. Step 6: Final answer
    x = 847,296,684.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.