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Finding the Third Proportional to 437,064 and 659,612

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Solution

The third proportional to 437,064 and 659,612 is: 995,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,064 : 659,612 = 659,612 : x
  2. Step 2: Convert to fraction form
    437,064/659,612 = 659,612/x
  3. Step 3: Cross multiply
    437,064x = 659,612 × 659,612
  4. Step 4: Simplify right side
    437,064x = 435,087,990,544
  5. Step 5: Solve for x
    x = 435,087,990,544/437,064
  6. Step 6: Final answer
    x = 995,478.90

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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.