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Finding the Third Proportional to 486,651 and 650,961

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Solution

The third proportional to 486,651 and 650,961 is: 870,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,651 : 650,961 = 650,961 : x
  2. Step 2: Convert to fraction form
    486,651/650,961 = 650,961/x
  3. Step 3: Cross multiply
    486,651x = 650,961 × 650,961
  4. Step 4: Simplify right side
    486,651x = 423,750,223,521
  5. Step 5: Solve for x
    x = 423,750,223,521/486,651
  6. Step 6: Final answer
    x = 870,747.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.