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Finding the Third Proportional to 322,812 and 497,826

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Solution

The third proportional to 322,812 and 497,826 is: 767,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,812 : 497,826 = 497,826 : x
  2. Step 2: Convert to fraction form
    322,812/497,826 = 497,826/x
  3. Step 3: Cross multiply
    322,812x = 497,826 × 497,826
  4. Step 4: Simplify right side
    322,812x = 247,830,726,276
  5. Step 5: Solve for x
    x = 247,830,726,276/322,812
  6. Step 6: Final answer
    x = 767,724.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.