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Finding the Third Proportional to 452,291.50 and 614,251.50

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Solution

The third proportional to 452,291.50 and 614,251.50 is: 834,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,291.50 : 614,251.50 = 614,251.50 : x
  2. Step 2: Convert to fraction form
    452,291.50/614,251.50 = 614,251.50/x
  3. Step 3: Cross multiply
    452,291.50x = 614,251.50 × 614,251.50
  4. Step 4: Simplify right side
    452,291.50x = 377,304,905,252.25
  5. Step 5: Solve for x
    x = 377,304,905,252.25/452,291.50
  6. Step 6: Final answer
    x = 834,207.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.