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Finding the Third Proportional to 403,672.50 and 548,463.75

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Solution

The third proportional to 403,672.50 and 548,463.75 is: 745,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,672.50 : 548,463.75 = 548,463.75 : x
  2. Step 2: Convert to fraction form
    403,672.50/548,463.75 = 548,463.75/x
  3. Step 3: Cross multiply
    403,672.50x = 548,463.75 × 548,463.75
  4. Step 4: Simplify right side
    403,672.50x = 300,812,485,064.06
  5. Step 5: Solve for x
    x = 300,812,485,064.06/403,672.50
  6. Step 6: Final answer
    x = 745,189.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.