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Finding the Third Proportional to 452,113 and 615,699

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Solution

The third proportional to 452,113 and 615,699 is: 838,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,113 : 615,699 = 615,699 : x
  2. Step 2: Convert to fraction form
    452,113/615,699 = 615,699/x
  3. Step 3: Cross multiply
    452,113x = 615,699 × 615,699
  4. Step 4: Simplify right side
    452,113x = 379,085,258,601
  5. Step 5: Solve for x
    x = 379,085,258,601/452,113
  6. Step 6: Final answer
    x = 838,474.58

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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.