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Finding the Third Proportional to 266,050.13 and 391,294.69

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Solution

The third proportional to 266,050.13 and 391,294.69 is: 575,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,050.13 : 391,294.69 = 391,294.69 : x
  2. Step 2: Convert to fraction form
    266,050.13/391,294.69 = 391,294.69/x
  3. Step 3: Cross multiply
    266,050.13x = 391,294.69 × 391,294.69
  4. Step 4: Simplify right side
    266,050.13x = 153,111,532,465.72
  5. Step 5: Solve for x
    x = 153,111,532,465.72/266,050.13
  6. Step 6: Final answer
    x = 575,498.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.