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Finding the Third Proportional to 335,766 and 506,883

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Solution

The third proportional to 335,766 and 506,883 is: 765,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,766 : 506,883 = 506,883 : x
  2. Step 2: Convert to fraction form
    335,766/506,883 = 506,883/x
  3. Step 3: Cross multiply
    335,766x = 506,883 × 506,883
  4. Step 4: Simplify right side
    335,766x = 256,930,375,689
  5. Step 5: Solve for x
    x = 256,930,375,689/335,766
  6. Step 6: Final answer
    x = 765,206.65

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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.