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Finding the Third Proportional to 266,424 and 570,636

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Solution

The third proportional to 266,424 and 570,636 is: 1,222,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,424 : 570,636 = 570,636 : x
  2. Step 2: Convert to fraction form
    266,424/570,636 = 570,636/x
  3. Step 3: Cross multiply
    266,424x = 570,636 × 570,636
  4. Step 4: Simplify right side
    266,424x = 325,625,444,496
  5. Step 5: Solve for x
    x = 325,625,444,496/266,424
  6. Step 6: Final answer
    x = 1,222,207.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.