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Finding the Third Proportional to 266,390 and 566,682

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Solution

The third proportional to 266,390 and 566,682 is: 1,205,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,390 : 566,682 = 566,682 : x
  2. Step 2: Convert to fraction form
    266,390/566,682 = 566,682/x
  3. Step 3: Cross multiply
    266,390x = 566,682 × 566,682
  4. Step 4: Simplify right side
    266,390x = 321,128,489,124
  5. Step 5: Solve for x
    x = 321,128,489,124/266,390
  6. Step 6: Final answer
    x = 1,205,482.52

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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.