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Finding the Third Proportional to 452,280 and 614,244

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Solution

The third proportional to 452,280 and 614,244 is: 834,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,280 : 614,244 = 614,244 : x
  2. Step 2: Convert to fraction form
    452,280/614,244 = 614,244/x
  3. Step 3: Cross multiply
    452,280x = 614,244 × 614,244
  4. Step 4: Simplify right side
    452,280x = 377,295,691,536
  5. Step 5: Solve for x
    x = 377,295,691,536/452,280
  6. Step 6: Final answer
    x = 834,208.22

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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.