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Finding the Third Proportional to 617,125.50 and 818,857.50

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Solution

The third proportional to 617,125.50 and 818,857.50 is: 1,086,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,125.50 : 818,857.50 = 818,857.50 : x
  2. Step 2: Convert to fraction form
    617,125.50/818,857.50 = 818,857.50/x
  3. Step 3: Cross multiply
    617,125.50x = 818,857.50 × 818,857.50
  4. Step 4: Simplify right side
    617,125.50x = 670,527,605,306.25
  5. Step 5: Solve for x
    x = 670,527,605,306.25/617,125.50
  6. Step 6: Final answer
    x = 1,086,533.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.