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Finding the Third Proportional to 532,435.50 and 747,103.50

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Solution

The third proportional to 532,435.50 and 747,103.50 is: 1,048,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,435.50 : 747,103.50 = 747,103.50 : x
  2. Step 2: Convert to fraction form
    532,435.50/747,103.50 = 747,103.50/x
  3. Step 3: Cross multiply
    532,435.50x = 747,103.50 × 747,103.50
  4. Step 4: Simplify right side
    532,435.50x = 558,163,639,712.25
  5. Step 5: Solve for x
    x = 558,163,639,712.25/532,435.50
  6. Step 6: Final answer
    x = 1,048,321.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.