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Finding the Third Proportional to 338,769 and 736,587

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Solution

The third proportional to 338,769 and 736,587 is: 1,601,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,769 : 736,587 = 736,587 : x
  2. Step 2: Convert to fraction form
    338,769/736,587 = 736,587/x
  3. Step 3: Cross multiply
    338,769x = 736,587 × 736,587
  4. Step 4: Simplify right side
    338,769x = 542,560,408,569
  5. Step 5: Solve for x
    x = 542,560,408,569/338,769
  6. Step 6: Final answer
    x = 1,601,564.51

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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.