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Finding the Third Proportional to 452,294 and 614,255

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Solution

The third proportional to 452,294 and 614,255 is: 834,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,294 : 614,255 = 614,255 : x
  2. Step 2: Convert to fraction form
    452,294/614,255 = 614,255/x
  3. Step 3: Cross multiply
    452,294x = 614,255 × 614,255
  4. Step 4: Simplify right side
    452,294x = 377,309,205,025
  5. Step 5: Solve for x
    x = 377,309,205,025/452,294
  6. Step 6: Final answer
    x = 834,212.27

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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.