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Finding the Third Proportional to 354,572.25 and 532,221

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Solution

The third proportional to 354,572.25 and 532,221 is: 798,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,572.25 : 532,221 = 532,221 : x
  2. Step 2: Convert to fraction form
    354,572.25/532,221 = 532,221/x
  3. Step 3: Cross multiply
    354,572.25x = 532,221 × 532,221
  4. Step 4: Simplify right side
    354,572.25x = 283,259,192,841
  5. Step 5: Solve for x
    x = 283,259,192,841/354,572.25
  6. Step 6: Final answer
    x = 798,875.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.