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Finding the Third Proportional to 262,782 and 576,432

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Solution

The third proportional to 262,782 and 576,432 is: 1,264,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,782 : 576,432 = 576,432 : x
  2. Step 2: Convert to fraction form
    262,782/576,432 = 576,432/x
  3. Step 3: Cross multiply
    262,782x = 576,432 × 576,432
  4. Step 4: Simplify right side
    262,782x = 332,273,850,624
  5. Step 5: Solve for x
    x = 332,273,850,624/262,782
  6. Step 6: Final answer
    x = 1,264,446.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.