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Finding the Third Proportional to 338,736 and 736,522

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Solution

The third proportional to 338,736 and 736,522 is: 1,601,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,736 : 736,522 = 736,522 : x
  2. Step 2: Convert to fraction form
    338,736/736,522 = 736,522/x
  3. Step 3: Cross multiply
    338,736x = 736,522 × 736,522
  4. Step 4: Simplify right side
    338,736x = 542,464,656,484
  5. Step 5: Solve for x
    x = 542,464,656,484/338,736
  6. Step 6: Final answer
    x = 1,601,437.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.