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Finding the Third Proportional to 413,320.50 and 632,251.13

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Solution

The third proportional to 413,320.50 and 632,251.13 is: 967,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,320.50 : 632,251.13 = 632,251.13 : x
  2. Step 2: Convert to fraction form
    413,320.50/632,251.13 = 632,251.13/x
  3. Step 3: Cross multiply
    413,320.50x = 632,251.13 × 632,251.13
  4. Step 4: Simplify right side
    413,320.50x = 399,741,485,063.77
  5. Step 5: Solve for x
    x = 399,741,485,063.77/413,320.50
  6. Step 6: Final answer
    x = 967,146.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.