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Finding the Third Proportional to 390,841,404 and 595,431,558

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Solution

The third proportional to 390,841,404 and 595,431,558 is: 907,116,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,841,404 : 595,431,558 = 595,431,558 : x
  2. Step 2: Convert to fraction form
    390,841,404/595,431,558 = 595,431,558/x
  3. Step 3: Cross multiply
    390,841,404x = 595,431,558 × 595,431,558
  4. Step 4: Simplify right side
    390,841,404x = 354,538,740,262,307,392
  5. Step 5: Solve for x
    x = 354,538,740,262,307,392/390,841,404
  6. Step 6: Final answer
    x = 907,116,637.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.