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Finding the Third Proportional to 438,234.75 and 655,609.50

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Solution

The third proportional to 438,234.75 and 655,609.50 is: 980,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,234.75 : 655,609.50 = 655,609.50 : x
  2. Step 2: Convert to fraction form
    438,234.75/655,609.50 = 655,609.50/x
  3. Step 3: Cross multiply
    438,234.75x = 655,609.50 × 655,609.50
  4. Step 4: Simplify right side
    438,234.75x = 429,823,816,490.25
  5. Step 5: Solve for x
    x = 429,823,816,490.25/438,234.75
  6. Step 6: Final answer
    x = 980,807.24

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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.