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Finding the Third Proportional to 322.00 and 499.61

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Solution

The third proportional to 322.00 and 499.61 is: 775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.00 : 499.61 = 499.61 : x
  2. Step 2: Convert to fraction form
    322.00/499.61 = 499.61/x
  3. Step 3: Cross multiply
    322.00x = 499.61 × 499.61
  4. Step 4: Simplify right side
    322.00x = 249,605.62
  5. Step 5: Solve for x
    x = 249,605.62/322.00
  6. Step 6: Final answer
    x = 775.18

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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.