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Finding the Third Proportional to 433,172 and 666,674

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Solution

The third proportional to 433,172 and 666,674 is: 1,026,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,172 : 666,674 = 666,674 : x
  2. Step 2: Convert to fraction form
    433,172/666,674 = 666,674/x
  3. Step 3: Cross multiply
    433,172x = 666,674 × 666,674
  4. Step 4: Simplify right side
    433,172x = 444,454,222,276
  5. Step 5: Solve for x
    x = 444,454,222,276/433,172
  6. Step 6: Final answer
    x = 1,026,045.59

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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.