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Finding the Third Proportional to 406,099.50 and 595,296.75

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Solution

The third proportional to 406,099.50 and 595,296.75 is: 872,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,099.50 : 595,296.75 = 595,296.75 : x
  2. Step 2: Convert to fraction form
    406,099.50/595,296.75 = 595,296.75/x
  3. Step 3: Cross multiply
    406,099.50x = 595,296.75 × 595,296.75
  4. Step 4: Simplify right side
    406,099.50x = 354,378,220,560.56
  5. Step 5: Solve for x
    x = 354,378,220,560.56/406,099.50
  6. Step 6: Final answer
    x = 872,638.90

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Why These Related Problems?

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