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Finding the Third Proportional to 435,905 and 666,536

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Solution

The third proportional to 435,905 and 666,536 is: 1,019,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,905 : 666,536 = 666,536 : x
  2. Step 2: Convert to fraction form
    435,905/666,536 = 666,536/x
  3. Step 3: Cross multiply
    435,905x = 666,536 × 666,536
  4. Step 4: Simplify right side
    435,905x = 444,270,239,296
  5. Step 5: Solve for x
    x = 444,270,239,296/435,905
  6. Step 6: Final answer
    x = 1,019,190.51

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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.