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Finding the Third Proportional to 423,022.50 and 655,337.25

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Solution

The third proportional to 423,022.50 and 655,337.25 is: 1,015,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,022.50 : 655,337.25 = 655,337.25 : x
  2. Step 2: Convert to fraction form
    423,022.50/655,337.25 = 655,337.25/x
  3. Step 3: Cross multiply
    423,022.50x = 655,337.25 × 655,337.25
  4. Step 4: Simplify right side
    423,022.50x = 429,466,911,237.56
  5. Step 5: Solve for x
    x = 429,466,911,237.56/423,022.50
  6. Step 6: Final answer
    x = 1,015,234.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.