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Finding the Third Proportional to 406,545.75 and 595,237.50

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Solution

The third proportional to 406,545.75 and 595,237.50 is: 871,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,545.75 : 595,237.50 = 595,237.50 : x
  2. Step 2: Convert to fraction form
    406,545.75/595,237.50 = 595,237.50/x
  3. Step 3: Cross multiply
    406,545.75x = 595,237.50 × 595,237.50
  4. Step 4: Simplify right side
    406,545.75x = 354,307,681,406.25
  5. Step 5: Solve for x
    x = 354,307,681,406.25/406,545.75
  6. Step 6: Final answer
    x = 871,507.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.