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Finding the Third Proportional to 588,822.75 and 883,963.13

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Solution

The third proportional to 588,822.75 and 883,963.13 is: 1,327,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,822.75 : 883,963.13 = 883,963.13 : x
  2. Step 2: Convert to fraction form
    588,822.75/883,963.13 = 883,963.13/x
  3. Step 3: Cross multiply
    588,822.75x = 883,963.13 × 883,963.13
  4. Step 4: Simplify right side
    588,822.75x = 781,390,806,359.77
  5. Step 5: Solve for x
    x = 781,390,806,359.77/588,822.75
  6. Step 6: Final answer
    x = 1,327,039.09

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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.