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Finding the Third Proportional to 453,895.50 and 659,560.50

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Solution

The third proportional to 453,895.50 and 659,560.50 is: 958,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,895.50 : 659,560.50 = 659,560.50 : x
  2. Step 2: Convert to fraction form
    453,895.50/659,560.50 = 659,560.50/x
  3. Step 3: Cross multiply
    453,895.50x = 659,560.50 × 659,560.50
  4. Step 4: Simplify right side
    453,895.50x = 435,020,053,160.25
  5. Step 5: Solve for x
    x = 435,020,053,160.25/453,895.50
  6. Step 6: Final answer
    x = 958,414.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.