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Finding the Third Proportional to 335,750 and 506,864

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Solution

The third proportional to 335,750 and 506,864 is: 765,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,750 : 506,864 = 506,864 : x
  2. Step 2: Convert to fraction form
    335,750/506,864 = 506,864/x
  3. Step 3: Cross multiply
    335,750x = 506,864 × 506,864
  4. Step 4: Simplify right side
    335,750x = 256,911,114,496
  5. Step 5: Solve for x
    x = 256,911,114,496/335,750
  6. Step 6: Final answer
    x = 765,185.75

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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.