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Finding the Third Proportional to 437,065.75 and 659,614.75

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Solution

The third proportional to 437,065.75 and 659,614.75 is: 995,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,065.75 : 659,614.75 = 659,614.75 : x
  2. Step 2: Convert to fraction form
    437,065.75/659,614.75 = 659,614.75/x
  3. Step 3: Cross multiply
    437,065.75x = 659,614.75 × 659,614.75
  4. Step 4: Simplify right side
    437,065.75x = 435,091,618,417.56
  5. Step 5: Solve for x
    x = 435,091,618,417.56/437,065.75
  6. Step 6: Final answer
    x = 995,483.22

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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.