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Finding the Third Proportional to 452,104 and 615,687

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Solution

The third proportional to 452,104 and 615,687 is: 838,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,104 : 615,687 = 615,687 : x
  2. Step 2: Convert to fraction form
    452,104/615,687 = 615,687/x
  3. Step 3: Cross multiply
    452,104x = 615,687 × 615,687
  4. Step 4: Simplify right side
    452,104x = 379,070,481,969
  5. Step 5: Solve for x
    x = 379,070,481,969/452,104
  6. Step 6: Final answer
    x = 838,458.59

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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.