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Finding the Third Proportional to 435,876 and 666,498

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Solution

The third proportional to 435,876 and 666,498 is: 1,019,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,876 : 666,498 = 666,498 : x
  2. Step 2: Convert to fraction form
    435,876/666,498 = 666,498/x
  3. Step 3: Cross multiply
    435,876x = 666,498 × 666,498
  4. Step 4: Simplify right side
    435,876x = 444,219,584,004
  5. Step 5: Solve for x
    x = 444,219,584,004/435,876
  6. Step 6: Final answer
    x = 1,019,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.