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Finding the Third Proportional to 452,281.50 and 614,238.75

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Solution

The third proportional to 452,281.50 and 614,238.75 is: 834,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,281.50 : 614,238.75 = 614,238.75 : x
  2. Step 2: Convert to fraction form
    452,281.50/614,238.75 = 614,238.75/x
  3. Step 3: Cross multiply
    452,281.50x = 614,238.75 × 614,238.75
  4. Step 4: Simplify right side
    452,281.50x = 377,289,242,001.56
  5. Step 5: Solve for x
    x = 377,289,242,001.56/452,281.50
  6. Step 6: Final answer
    x = 834,191.19

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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.