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Finding the Third Proportional to 322,984.13 and 495,775.69

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Solution

The third proportional to 322,984.13 and 495,775.69 is: 761,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,984.13 : 495,775.69 = 495,775.69 : x
  2. Step 2: Convert to fraction form
    322,984.13/495,775.69 = 495,775.69/x
  3. Step 3: Cross multiply
    322,984.13x = 495,775.69 × 495,775.69
  4. Step 4: Simplify right side
    322,984.13x = 245,793,532,316.10
  5. Step 5: Solve for x
    x = 245,793,532,316.10/322,984.13
  6. Step 6: Final answer
    x = 761,008.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.