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Finding the Third Proportional to 266,400 and 566,708

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Solution

The third proportional to 266,400 and 566,708 is: 1,205,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,400 : 566,708 = 566,708 : x
  2. Step 2: Convert to fraction form
    266,400/566,708 = 566,708/x
  3. Step 3: Cross multiply
    266,400x = 566,708 × 566,708
  4. Step 4: Simplify right side
    266,400x = 321,157,957,264
  5. Step 5: Solve for x
    x = 321,157,957,264/266,400
  6. Step 6: Final answer
    x = 1,205,547.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.