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Finding the Third Proportional to 302,917.50 and 655,984.13

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Solution

The third proportional to 302,917.50 and 655,984.13 is: 1,420,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,917.50 : 655,984.13 = 655,984.13 : x
  2. Step 2: Convert to fraction form
    302,917.50/655,984.13 = 655,984.13/x
  3. Step 3: Cross multiply
    302,917.50x = 655,984.13 × 655,984.13
  4. Step 4: Simplify right side
    302,917.50x = 430,315,172,252.02
  5. Step 5: Solve for x
    x = 430,315,172,252.02/302,917.50
  6. Step 6: Final answer
    x = 1,420,568.88

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Why These Related Problems?

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