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Finding the Third Proportional to 433,566 and 667,254

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Solution

The third proportional to 433,566 and 667,254 is: 1,026,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,566 : 667,254 = 667,254 : x
  2. Step 2: Convert to fraction form
    433,566/667,254 = 667,254/x
  3. Step 3: Cross multiply
    433,566x = 667,254 × 667,254
  4. Step 4: Simplify right side
    433,566x = 445,227,900,516
  5. Step 5: Solve for x
    x = 445,227,900,516/433,566
  6. Step 6: Final answer
    x = 1,026,897.64

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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.