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Finding the Third Proportional to 452,112.75 and 615,701.25

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Solution

The third proportional to 452,112.75 and 615,701.25 is: 838,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,112.75 : 615,701.25 = 615,701.25 : x
  2. Step 2: Convert to fraction form
    452,112.75/615,701.25 = 615,701.25/x
  3. Step 3: Cross multiply
    452,112.75x = 615,701.25 × 615,701.25
  4. Step 4: Simplify right side
    452,112.75x = 379,088,029,251.56
  5. Step 5: Solve for x
    x = 379,088,029,251.56/452,112.75
  6. Step 6: Final answer
    x = 838,481.17

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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.