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Finding the Third Proportional to 435,921 and 666,561

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Solution

The third proportional to 435,921 and 666,561 is: 1,019,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,921 : 666,561 = 666,561 : x
  2. Step 2: Convert to fraction form
    435,921/666,561 = 666,561/x
  3. Step 3: Cross multiply
    435,921x = 666,561 × 666,561
  4. Step 4: Simplify right side
    435,921x = 444,303,566,721
  5. Step 5: Solve for x
    x = 444,303,566,721/435,921
  6. Step 6: Final answer
    x = 1,019,229.55

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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.