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Finding the Third Proportional to 363,224.25 and 717,133.50

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Solution

The third proportional to 363,224.25 and 717,133.50 is: 1,415,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,224.25 : 717,133.50 = 717,133.50 : x
  2. Step 2: Convert to fraction form
    363,224.25/717,133.50 = 717,133.50/x
  3. Step 3: Cross multiply
    363,224.25x = 717,133.50 × 717,133.50
  4. Step 4: Simplify right side
    363,224.25x = 514,280,456,822.25
  5. Step 5: Solve for x
    x = 514,280,456,822.25/363,224.25
  6. Step 6: Final answer
    x = 1,415,875.89

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.