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Finding the Third Proportional to 305,947.50 and 653,934

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Solution

The third proportional to 305,947.50 and 653,934 is: 1,397,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,947.50 : 653,934 = 653,934 : x
  2. Step 2: Convert to fraction form
    305,947.50/653,934 = 653,934/x
  3. Step 3: Cross multiply
    305,947.50x = 653,934 × 653,934
  4. Step 4: Simplify right side
    305,947.50x = 427,629,676,356
  5. Step 5: Solve for x
    x = 427,629,676,356/305,947.50
  6. Step 6: Final answer
    x = 1,397,722.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.