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Finding the Third Proportional to 452,127 and 615,723

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Solution

The third proportional to 452,127 and 615,723 is: 838,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,127 : 615,723 = 615,723 : x
  2. Step 2: Convert to fraction form
    452,127/615,723 = 615,723/x
  3. Step 3: Cross multiply
    452,127x = 615,723 × 615,723
  4. Step 4: Simplify right side
    452,127x = 379,114,812,729
  5. Step 5: Solve for x
    x = 379,114,812,729/452,127
  6. Step 6: Final answer
    x = 838,513.99

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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.