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Finding the Third Proportional to 433,186 and 666,691

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Solution

The third proportional to 433,186 and 666,691 is: 1,026,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,186 : 666,691 = 666,691 : x
  2. Step 2: Convert to fraction form
    433,186/666,691 = 666,691/x
  3. Step 3: Cross multiply
    433,186x = 666,691 × 666,691
  4. Step 4: Simplify right side
    433,186x = 444,476,889,481
  5. Step 5: Solve for x
    x = 444,476,889,481/433,186
  6. Step 6: Final answer
    x = 1,026,064.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.