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Finding the Third Proportional to 266,335.50 and 572,199.25

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Solution

The third proportional to 266,335.50 and 572,199.25 is: 1,229,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,335.50 : 572,199.25 = 572,199.25 : x
  2. Step 2: Convert to fraction form
    266,335.50/572,199.25 = 572,199.25/x
  3. Step 3: Cross multiply
    266,335.50x = 572,199.25 × 572,199.25
  4. Step 4: Simplify right side
    266,335.50x = 327,411,981,700.56
  5. Step 5: Solve for x
    x = 327,411,981,700.56/266,335.50
  6. Step 6: Final answer
    x = 1,229,321.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.