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Finding the Third Proportional to 261,515.25 and 404,098.88

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Solution

The third proportional to 261,515.25 and 404,098.88 is: 624,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,515.25 : 404,098.88 = 404,098.88 : x
  2. Step 2: Convert to fraction form
    261,515.25/404,098.88 = 404,098.88/x
  3. Step 3: Cross multiply
    261,515.25x = 404,098.88 × 404,098.88
  4. Step 4: Simplify right side
    261,515.25x = 163,295,900,776.27
  5. Step 5: Solve for x
    x = 163,295,900,776.27/261,515.25
  6. Step 6: Final answer
    x = 624,422.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.