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Finding the Third Proportional to 453,984 and 687,288

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Solution

The third proportional to 453,984 and 687,288 is: 1,040,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,984 : 687,288 = 687,288 : x
  2. Step 2: Convert to fraction form
    453,984/687,288 = 687,288/x
  3. Step 3: Cross multiply
    453,984x = 687,288 × 687,288
  4. Step 4: Simplify right side
    453,984x = 472,364,794,944
  5. Step 5: Solve for x
    x = 472,364,794,944/453,984
  6. Step 6: Final answer
    x = 1,040,487.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.