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Finding the Third Proportional to 363,793.50 and 785,664

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Solution

The third proportional to 363,793.50 and 785,664 is: 1,696,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,793.50 : 785,664 = 785,664 : x
  2. Step 2: Convert to fraction form
    363,793.50/785,664 = 785,664/x
  3. Step 3: Cross multiply
    363,793.50x = 785,664 × 785,664
  4. Step 4: Simplify right side
    363,793.50x = 617,267,920,896
  5. Step 5: Solve for x
    x = 617,267,920,896/363,793.50
  6. Step 6: Final answer
    x = 1,696,753.57

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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.