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Finding the Third Proportional to 302,617.13 and 655,333.31

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Solution

The third proportional to 302,617.13 and 655,333.31 is: 1,419,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,617.13 : 655,333.31 = 655,333.31 : x
  2. Step 2: Convert to fraction form
    302,617.13/655,333.31 = 655,333.31/x
  3. Step 3: Cross multiply
    302,617.13x = 655,333.31 × 655,333.31
  4. Step 4: Simplify right side
    302,617.13x = 429,461,750,472.22
  5. Step 5: Solve for x
    x = 429,461,750,472.22/302,617.13
  6. Step 6: Final answer
    x = 1,419,158.78

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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.