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Finding the Third Proportional to 433,560 and 667,248

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Solution

The third proportional to 433,560 and 667,248 is: 1,026,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,560 : 667,248 = 667,248 : x
  2. Step 2: Convert to fraction form
    433,560/667,248 = 667,248/x
  3. Step 3: Cross multiply
    433,560x = 667,248 × 667,248
  4. Step 4: Simplify right side
    433,560x = 445,219,893,504
  5. Step 5: Solve for x
    x = 445,219,893,504/433,560
  6. Step 6: Final answer
    x = 1,026,893.38

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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.