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Finding the Third Proportional to 345,494.25 and 747,580.50

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Solution

The third proportional to 345,494.25 and 747,580.50 is: 1,617,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,494.25 : 747,580.50 = 747,580.50 : x
  2. Step 2: Convert to fraction form
    345,494.25/747,580.50 = 747,580.50/x
  3. Step 3: Cross multiply
    345,494.25x = 747,580.50 × 747,580.50
  4. Step 4: Simplify right side
    345,494.25x = 558,876,603,980.25
  5. Step 5: Solve for x
    x = 558,876,603,980.25/345,494.25
  6. Step 6: Final answer
    x = 1,617,614.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.