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Finding the Third Proportional to 436,600 and 652,204

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Solution

The third proportional to 436,600 and 652,204 is: 974,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,600 : 652,204 = 652,204 : x
  2. Step 2: Convert to fraction form
    436,600/652,204 = 652,204/x
  3. Step 3: Cross multiply
    436,600x = 652,204 × 652,204
  4. Step 4: Simplify right side
    436,600x = 425,370,057,616
  5. Step 5: Solve for x
    x = 425,370,057,616/436,600
  6. Step 6: Final answer
    x = 974,278.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.