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Finding the Third Proportional to 452,146 and 615,748

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Solution

The third proportional to 452,146 and 615,748 is: 838,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,146 : 615,748 = 615,748 : x
  2. Step 2: Convert to fraction form
    452,146/615,748 = 615,748/x
  3. Step 3: Cross multiply
    452,146x = 615,748 × 615,748
  4. Step 4: Simplify right side
    452,146x = 379,145,599,504
  5. Step 5: Solve for x
    x = 379,145,599,504/452,146
  6. Step 6: Final answer
    x = 838,546.84

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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.