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Finding the Third Proportional to 466,189 and 658,025

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Solution

The third proportional to 466,189 and 658,025 is: 928,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,189 : 658,025 = 658,025 : x
  2. Step 2: Convert to fraction form
    466,189/658,025 = 658,025/x
  3. Step 3: Cross multiply
    466,189x = 658,025 × 658,025
  4. Step 4: Simplify right side
    466,189x = 432,996,900,625
  5. Step 5: Solve for x
    x = 432,996,900,625/466,189
  6. Step 6: Final answer
    x = 928,801.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.