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Finding the Third Proportional to 266,064 and 391,314

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Solution

The third proportional to 266,064 and 391,314 is: 575,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,064 : 391,314 = 391,314 : x
  2. Step 2: Convert to fraction form
    266,064/391,314 = 391,314/x
  3. Step 3: Cross multiply
    266,064x = 391,314 × 391,314
  4. Step 4: Simplify right side
    266,064x = 153,126,646,596
  5. Step 5: Solve for x
    x = 153,126,646,596/266,064
  6. Step 6: Final answer
    x = 575,525.61

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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.