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Finding the Third Proportional to 354,624.75 and 532,291.50

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Solution

The third proportional to 354,624.75 and 532,291.50 is: 798,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,624.75 : 532,291.50 = 532,291.50 : x
  2. Step 2: Convert to fraction form
    354,624.75/532,291.50 = 532,291.50/x
  3. Step 3: Cross multiply
    354,624.75x = 532,291.50 × 532,291.50
  4. Step 4: Simplify right side
    354,624.75x = 283,334,240,972.25
  5. Step 5: Solve for x
    x = 283,334,240,972.25/354,624.75
  6. Step 6: Final answer
    x = 798,969.17

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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.