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Finding the Third Proportional to 323,632.13 and 703,729.69

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Solution

The third proportional to 323,632.13 and 703,729.69 is: 1,530,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,632.13 : 703,729.69 = 703,729.69 : x
  2. Step 2: Convert to fraction form
    323,632.13/703,729.69 = 703,729.69/x
  3. Step 3: Cross multiply
    323,632.13x = 703,729.69 × 703,729.69
  4. Step 4: Simplify right side
    323,632.13x = 495,235,473,068.85
  5. Step 5: Solve for x
    x = 495,235,473,068.85/323,632.13
  6. Step 6: Final answer
    x = 1,530,242.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.