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Finding the Third Proportional to 360,304 and 538,436

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Solution

The third proportional to 360,304 and 538,436 is: 804,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,304 : 538,436 = 538,436 : x
  2. Step 2: Convert to fraction form
    360,304/538,436 = 538,436/x
  3. Step 3: Cross multiply
    360,304x = 538,436 × 538,436
  4. Step 4: Simplify right side
    360,304x = 289,913,326,096
  5. Step 5: Solve for x
    x = 289,913,326,096/360,304
  6. Step 6: Final answer
    x = 804,635.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.