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Finding the Third Proportional to 452,292 and 614,252.25

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Solution

The third proportional to 452,292 and 614,252.25 is: 834,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,292 : 614,252.25 = 614,252.25 : x
  2. Step 2: Convert to fraction form
    452,292/614,252.25 = 614,252.25/x
  3. Step 3: Cross multiply
    452,292x = 614,252.25 × 614,252.25
  4. Step 4: Simplify right side
    452,292x = 377,305,826,630.06
  5. Step 5: Solve for x
    x = 377,305,826,630.06/452,292
  6. Step 6: Final answer
    x = 834,208.49

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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.