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Finding the Third Proportional to 447,864 and 676,116

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Solution

The third proportional to 447,864 and 676,116 is: 1,020,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,864 : 676,116 = 676,116 : x
  2. Step 2: Convert to fraction form
    447,864/676,116 = 676,116/x
  3. Step 3: Cross multiply
    447,864x = 676,116 × 676,116
  4. Step 4: Simplify right side
    447,864x = 457,132,845,456
  5. Step 5: Solve for x
    x = 457,132,845,456/447,864
  6. Step 6: Final answer
    x = 1,020,695.67

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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.