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Finding the Third Proportional to 266,080 and 591,210

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Solution

The third proportional to 266,080 and 591,210 is: 1,313,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,080 : 591,210 = 591,210 : x
  2. Step 2: Convert to fraction form
    266,080/591,210 = 591,210/x
  3. Step 3: Cross multiply
    266,080x = 591,210 × 591,210
  4. Step 4: Simplify right side
    266,080x = 349,529,264,100
  5. Step 5: Solve for x
    x = 349,529,264,100/266,080
  6. Step 6: Final answer
    x = 1,313,624.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.