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Finding the Third Proportional to 425,191.50 and 658,326

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Solution

The third proportional to 425,191.50 and 658,326 is: 1,019,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,191.50 : 658,326 = 658,326 : x
  2. Step 2: Convert to fraction form
    425,191.50/658,326 = 658,326/x
  3. Step 3: Cross multiply
    425,191.50x = 658,326 × 658,326
  4. Step 4: Simplify right side
    425,191.50x = 433,393,122,276
  5. Step 5: Solve for x
    x = 433,393,122,276/425,191.50
  6. Step 6: Final answer
    x = 1,019,289.24

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