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Finding the Third Proportional to 336,417,073 and 491,853,522

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Solution

The third proportional to 336,417,073 and 491,853,522 is: 719,107,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,417,073 : 491,853,522 = 491,853,522 : x
  2. Step 2: Convert to fraction form
    336,417,073/491,853,522 = 491,853,522/x
  3. Step 3: Cross multiply
    336,417,073x = 491,853,522 × 491,853,522
  4. Step 4: Simplify right side
    336,417,073x = 241,919,887,103,804,480
  5. Step 5: Solve for x
    x = 241,919,887,103,804,480/336,417,073
  6. Step 6: Final answer
    x = 719,107,044.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.