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Finding the Third Proportional to 301,765.50 and 655,452

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Solution

The third proportional to 301,765.50 and 655,452 is: 1,423,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,765.50 : 655,452 = 655,452 : x
  2. Step 2: Convert to fraction form
    301,765.50/655,452 = 655,452/x
  3. Step 3: Cross multiply
    301,765.50x = 655,452 × 655,452
  4. Step 4: Simplify right side
    301,765.50x = 429,617,324,304
  5. Step 5: Solve for x
    x = 429,617,324,304/301,765.50
  6. Step 6: Final answer
    x = 1,423,679.39

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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.