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Finding the Third Proportional to 413,821.41 and 561,683.11

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Solution

The third proportional to 413,821.41 and 561,683.11 is: 762,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,821.41 : 561,683.11 = 561,683.11 : x
  2. Step 2: Convert to fraction form
    413,821.41/561,683.11 = 561,683.11/x
  3. Step 3: Cross multiply
    413,821.41x = 561,683.11 × 561,683.11
  4. Step 4: Simplify right side
    413,821.41x = 315,487,915,357.17
  5. Step 5: Solve for x
    x = 315,487,915,357.17/413,821.41
  6. Step 6: Final answer
    x = 762,376.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.