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Finding the Third Proportional to 338,306 and 736,884

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Solution

The third proportional to 338,306 and 736,884 is: 1,605,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,306 : 736,884 = 736,884 : x
  2. Step 2: Convert to fraction form
    338,306/736,884 = 736,884/x
  3. Step 3: Cross multiply
    338,306x = 736,884 × 736,884
  4. Step 4: Simplify right side
    338,306x = 542,998,029,456
  5. Step 5: Solve for x
    x = 542,998,029,456/338,306
  6. Step 6: Final answer
    x = 1,605,049.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.