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Finding the Third Proportional to 266,086.13 and 412,795.13

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Solution

The third proportional to 266,086.13 and 412,795.13 is: 640,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,086.13 : 412,795.13 = 412,795.13 : x
  2. Step 2: Convert to fraction form
    266,086.13/412,795.13 = 412,795.13/x
  3. Step 3: Cross multiply
    266,086.13x = 412,795.13 × 412,795.13
  4. Step 4: Simplify right side
    266,086.13x = 170,399,815,223.77
  5. Step 5: Solve for x
    x = 170,399,815,223.77/266,086.13
  6. Step 6: Final answer
    x = 640,393.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.