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Finding the Third Proportional to 351,337.50 and 781,285.50

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Solution

The third proportional to 351,337.50 and 781,285.50 is: 1,737,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,337.50 : 781,285.50 = 781,285.50 : x
  2. Step 2: Convert to fraction form
    351,337.50/781,285.50 = 781,285.50/x
  3. Step 3: Cross multiply
    351,337.50x = 781,285.50 × 781,285.50
  4. Step 4: Simplify right side
    351,337.50x = 610,407,032,510.25
  5. Step 5: Solve for x
    x = 610,407,032,510.25/351,337.50
  6. Step 6: Final answer
    x = 1,737,380.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.