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Finding the Third Proportional to 413,184.75 and 632,001.38

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Solution

The third proportional to 413,184.75 and 632,001.38 is: 966,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,184.75 : 632,001.38 = 632,001.38 : x
  2. Step 2: Convert to fraction form
    413,184.75/632,001.38 = 632,001.38/x
  3. Step 3: Cross multiply
    413,184.75x = 632,001.38 × 632,001.38
  4. Step 4: Simplify right side
    413,184.75x = 399,425,738,001.89
  5. Step 5: Solve for x
    x = 399,425,738,001.89/413,184.75
  6. Step 6: Final answer
    x = 966,700.10

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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.