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Finding the Third Proportional to 413,274.66 and 632,225.25

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Solution

The third proportional to 413,274.66 and 632,225.25 is: 967,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,274.66 : 632,225.25 = 632,225.25 : x
  2. Step 2: Convert to fraction form
    413,274.66/632,225.25 = 632,225.25/x
  3. Step 3: Cross multiply
    413,274.66x = 632,225.25 × 632,225.25
  4. Step 4: Simplify right side
    413,274.66x = 399,708,766,737.56
  5. Step 5: Solve for x
    x = 399,708,766,737.56/413,274.66
  6. Step 6: Final answer
    x = 967,174.64

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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.