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Finding the Third Proportional to 451,826 and 602,367

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Solution

The third proportional to 451,826 and 602,367 is: 803,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,826 : 602,367 = 602,367 : x
  2. Step 2: Convert to fraction form
    451,826/602,367 = 602,367/x
  3. Step 3: Cross multiply
    451,826x = 602,367 × 602,367
  4. Step 4: Simplify right side
    451,826x = 362,846,002,689
  5. Step 5: Solve for x
    x = 362,846,002,689/451,826
  6. Step 6: Final answer
    x = 803,065.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.