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Finding the Third Proportional to 389,432.50 and 841,142.50

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Solution

The third proportional to 389,432.50 and 841,142.50 is: 1,816,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,432.50 : 841,142.50 = 841,142.50 : x
  2. Step 2: Convert to fraction form
    389,432.50/841,142.50 = 841,142.50/x
  3. Step 3: Cross multiply
    389,432.50x = 841,142.50 × 841,142.50
  4. Step 4: Simplify right side
    389,432.50x = 707,520,705,306.25
  5. Step 5: Solve for x
    x = 707,520,705,306.25/389,432.50
  6. Step 6: Final answer
    x = 1,816,799.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.