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Finding the Third Proportional to 318,356 and 496,904

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Solution

The third proportional to 318,356 and 496,904 is: 775,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,356 : 496,904 = 496,904 : x
  2. Step 2: Convert to fraction form
    318,356/496,904 = 496,904/x
  3. Step 3: Cross multiply
    318,356x = 496,904 × 496,904
  4. Step 4: Simplify right side
    318,356x = 246,913,585,216
  5. Step 5: Solve for x
    x = 246,913,585,216/318,356
  6. Step 6: Final answer
    x = 775,589.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.