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Finding the Third Proportional to 296,147 and 458,063

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Solution

The third proportional to 296,147 and 458,063 is: 708,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,147 : 458,063 = 458,063 : x
  2. Step 2: Convert to fraction form
    296,147/458,063 = 458,063/x
  3. Step 3: Cross multiply
    296,147x = 458,063 × 458,063
  4. Step 4: Simplify right side
    296,147x = 209,821,711,969
  5. Step 5: Solve for x
    x = 209,821,711,969/296,147
  6. Step 6: Final answer
    x = 708,505.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.