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Finding the Third Proportional to 338,304 and 736,880

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Solution

The third proportional to 338,304 and 736,880 is: 1,605,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,304 : 736,880 = 736,880 : x
  2. Step 2: Convert to fraction form
    338,304/736,880 = 736,880/x
  3. Step 3: Cross multiply
    338,304x = 736,880 × 736,880
  4. Step 4: Simplify right side
    338,304x = 542,992,134,400
  5. Step 5: Solve for x
    x = 542,992,134,400/338,304
  6. Step 6: Final answer
    x = 1,605,042.02

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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.