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Finding the Third Proportional to 266,463 and 570,912

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Solution

The third proportional to 266,463 and 570,912 is: 1,223,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,463 : 570,912 = 570,912 : x
  2. Step 2: Convert to fraction form
    266,463/570,912 = 570,912/x
  3. Step 3: Cross multiply
    266,463x = 570,912 × 570,912
  4. Step 4: Simplify right side
    266,463x = 325,940,511,744
  5. Step 5: Solve for x
    x = 325,940,511,744/266,463
  6. Step 6: Final answer
    x = 1,223,211.15

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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.