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Finding the Third Proportional to 295,498 and 653,204

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Solution

The third proportional to 295,498 and 653,204 is: 1,443,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,498 : 653,204 = 653,204 : x
  2. Step 2: Convert to fraction form
    295,498/653,204 = 653,204/x
  3. Step 3: Cross multiply
    295,498x = 653,204 × 653,204
  4. Step 4: Simplify right side
    295,498x = 426,675,465,616
  5. Step 5: Solve for x
    x = 426,675,465,616/295,498
  6. Step 6: Final answer
    x = 1,443,919.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.