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Finding the Third Proportional to 437,073 and 659,630

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Solution

The third proportional to 437,073 and 659,630 is: 995,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,073 : 659,630 = 659,630 : x
  2. Step 2: Convert to fraction form
    437,073/659,630 = 659,630/x
  3. Step 3: Cross multiply
    437,073x = 659,630 × 659,630
  4. Step 4: Simplify right side
    437,073x = 435,111,736,900
  5. Step 5: Solve for x
    x = 435,111,736,900/437,073
  6. Step 6: Final answer
    x = 995,512.73

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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.