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Finding the Third Proportional to 466,114.50 and 705,474.56

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Solution

The third proportional to 466,114.50 and 705,474.56 is: 1,067,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,114.50 : 705,474.56 = 705,474.56 : x
  2. Step 2: Convert to fraction form
    466,114.50/705,474.56 = 705,474.56/x
  3. Step 3: Cross multiply
    466,114.50x = 705,474.56 × 705,474.56
  4. Step 4: Simplify right side
    466,114.50x = 497,694,358,334.57
  5. Step 5: Solve for x
    x = 497,694,358,334.57/466,114.50
  6. Step 6: Final answer
    x = 1,067,751.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.