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Finding the Third Proportional to 297,542 and 655,444

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Solution

The third proportional to 297,542 and 655,444 is: 1,443,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,542 : 655,444 = 655,444 : x
  2. Step 2: Convert to fraction form
    297,542/655,444 = 655,444/x
  3. Step 3: Cross multiply
    297,542x = 655,444 × 655,444
  4. Step 4: Simplify right side
    297,542x = 429,606,837,136
  5. Step 5: Solve for x
    x = 429,606,837,136/297,542
  6. Step 6: Final answer
    x = 1,443,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.