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Finding the Third Proportional to 261,197.25 and 565,867.88

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Solution

The third proportional to 261,197.25 and 565,867.88 is: 1,225,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,197.25 : 565,867.88 = 565,867.88 : x
  2. Step 2: Convert to fraction form
    261,197.25/565,867.88 = 565,867.88/x
  3. Step 3: Cross multiply
    261,197.25x = 565,867.88 × 565,867.88
  4. Step 4: Simplify right side
    261,197.25x = 320,206,451,957.02
  5. Step 5: Solve for x
    x = 320,206,451,957.02/261,197.25
  6. Step 6: Final answer
    x = 1,225,918.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.