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Finding the Third Proportional to 406,101.75 and 595,299.75

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Solution

The third proportional to 406,101.75 and 595,299.75 is: 872,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,101.75 : 595,299.75 = 595,299.75 : x
  2. Step 2: Convert to fraction form
    406,101.75/595,299.75 = 595,299.75/x
  3. Step 3: Cross multiply
    406,101.75x = 595,299.75 × 595,299.75
  4. Step 4: Simplify right side
    406,101.75x = 354,381,792,350.06
  5. Step 5: Solve for x
    x = 354,381,792,350.06/406,101.75
  6. Step 6: Final answer
    x = 872,642.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.