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Finding the Third Proportional to 354,609 and 532,277

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Solution

The third proportional to 354,609 and 532,277 is: 798,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,609 : 532,277 = 532,277 : x
  2. Step 2: Convert to fraction form
    354,609/532,277 = 532,277/x
  3. Step 3: Cross multiply
    354,609x = 532,277 × 532,277
  4. Step 4: Simplify right side
    354,609x = 283,318,804,729
  5. Step 5: Solve for x
    x = 283,318,804,729/354,609
  6. Step 6: Final answer
    x = 798,961.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.