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Finding the Third Proportional to 266,383.69 and 406,223.86

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Solution

The third proportional to 266,383.69 and 406,223.86 is: 619,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,383.69 : 406,223.86 = 406,223.86 : x
  2. Step 2: Convert to fraction form
    266,383.69/406,223.86 = 406,223.86/x
  3. Step 3: Cross multiply
    266,383.69x = 406,223.86 × 406,223.86
  4. Step 4: Simplify right side
    266,383.69x = 165,017,823,925.52
  5. Step 5: Solve for x
    x = 165,017,823,925.52/266,383.69
  6. Step 6: Final answer
    x = 619,474.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.