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Finding the Third Proportional to 437,894 and 659,974

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Solution

The third proportional to 437,894 and 659,974 is: 994,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,894 : 659,974 = 659,974 : x
  2. Step 2: Convert to fraction form
    437,894/659,974 = 659,974/x
  3. Step 3: Cross multiply
    437,894x = 659,974 × 659,974
  4. Step 4: Simplify right side
    437,894x = 435,565,680,676
  5. Step 5: Solve for x
    x = 435,565,680,676/437,894
  6. Step 6: Final answer
    x = 994,682.92

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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.