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Finding the Third Proportional to 433,436.06 and 667,035

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Solution

The third proportional to 433,436.06 and 667,035 is: 1,026,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,436.06 : 667,035 = 667,035 : x
  2. Step 2: Convert to fraction form
    433,436.06/667,035 = 667,035/x
  3. Step 3: Cross multiply
    433,436.06x = 667,035 × 667,035
  4. Step 4: Simplify right side
    433,436.06x = 444,935,691,225
  5. Step 5: Solve for x
    x = 444,935,691,225/433,436.06
  6. Step 6: Final answer
    x = 1,026,531.32

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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.