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Finding the Third Proportional to 362,049.75 and 781,008.75

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Solution

The third proportional to 362,049.75 and 781,008.75 is: 1,684,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,049.75 : 781,008.75 = 781,008.75 : x
  2. Step 2: Convert to fraction form
    362,049.75/781,008.75 = 781,008.75/x
  3. Step 3: Cross multiply
    362,049.75x = 781,008.75 × 781,008.75
  4. Step 4: Simplify right side
    362,049.75x = 609,974,667,576.56
  5. Step 5: Solve for x
    x = 609,974,667,576.56/362,049.75
  6. Step 6: Final answer
    x = 1,684,781.35

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Why These Related Problems?

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