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Finding the Third Proportional to 329,560 and 703,592

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Solution

The third proportional to 329,560 and 703,592 is: 1,502,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,560 : 703,592 = 703,592 : x
  2. Step 2: Convert to fraction form
    329,560/703,592 = 703,592/x
  3. Step 3: Cross multiply
    329,560x = 703,592 × 703,592
  4. Step 4: Simplify right side
    329,560x = 495,041,702,464
  5. Step 5: Solve for x
    x = 495,041,702,464/329,560
  6. Step 6: Final answer
    x = 1,502,129.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.