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Finding the Third Proportional to 413,743.50 and 632,649

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Solution

The third proportional to 413,743.50 and 632,649 is: 967,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,743.50 : 632,649 = 632,649 : x
  2. Step 2: Convert to fraction form
    413,743.50/632,649 = 632,649/x
  3. Step 3: Cross multiply
    413,743.50x = 632,649 × 632,649
  4. Step 4: Simplify right side
    413,743.50x = 400,244,757,201
  5. Step 5: Solve for x
    x = 400,244,757,201/413,743.50
  6. Step 6: Final answer
    x = 967,374.13

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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.