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Finding the Third Proportional to 266,432 and 570,652

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Solution

The third proportional to 266,432 and 570,652 is: 1,222,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,432 : 570,652 = 570,652 : x
  2. Step 2: Convert to fraction form
    266,432/570,652 = 570,652/x
  3. Step 3: Cross multiply
    266,432x = 570,652 × 570,652
  4. Step 4: Simplify right side
    266,432x = 325,643,705,104
  5. Step 5: Solve for x
    x = 325,643,705,104/266,432
  6. Step 6: Final answer
    x = 1,222,239.46

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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.