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Finding the Third Proportional to 266,469 and 570,924

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Solution

The third proportional to 266,469 and 570,924 is: 1,223,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,469 : 570,924 = 570,924 : x
  2. Step 2: Convert to fraction form
    266,469/570,924 = 570,924/x
  3. Step 3: Cross multiply
    266,469x = 570,924 × 570,924
  4. Step 4: Simplify right side
    266,469x = 325,954,213,776
  5. Step 5: Solve for x
    x = 325,954,213,776/266,469
  6. Step 6: Final answer
    x = 1,223,235.02

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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.