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Finding the Third Proportional to 325,468.13 and 703,576.13

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Solution

The third proportional to 325,468.13 and 703,576.13 is: 1,520,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,468.13 : 703,576.13 = 703,576.13 : x
  2. Step 2: Convert to fraction form
    325,468.13/703,576.13 = 703,576.13/x
  3. Step 3: Cross multiply
    325,468.13x = 703,576.13 × 703,576.13
  4. Step 4: Simplify right side
    325,468.13x = 495,019,363,670.02
  5. Step 5: Solve for x
    x = 495,019,363,670.02/325,468.13
  6. Step 6: Final answer
    x = 1,520,945.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.