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Finding the Third Proportional to 437,126 and 659,705

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Solution

The third proportional to 437,126 and 659,705 is: 995,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,126 : 659,705 = 659,705 : x
  2. Step 2: Convert to fraction form
    437,126/659,705 = 659,705/x
  3. Step 3: Cross multiply
    437,126x = 659,705 × 659,705
  4. Step 4: Simplify right side
    437,126x = 435,210,687,025
  5. Step 5: Solve for x
    x = 435,210,687,025/437,126
  6. Step 6: Final answer
    x = 995,618.40

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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.