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Finding the Third Proportional to 452,124 and 615,717

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Solution

The third proportional to 452,124 and 615,717 is: 838,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,124 : 615,717 = 615,717 : x
  2. Step 2: Convert to fraction form
    452,124/615,717 = 615,717/x
  3. Step 3: Cross multiply
    452,124x = 615,717 × 615,717
  4. Step 4: Simplify right side
    452,124x = 379,107,424,089
  5. Step 5: Solve for x
    x = 379,107,424,089/452,124
  6. Step 6: Final answer
    x = 838,503.21

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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.