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Finding the Third Proportional to 496,872 and 774,828

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Solution

The third proportional to 496,872 and 774,828 is: 1,208,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,872 : 774,828 = 774,828 : x
  2. Step 2: Convert to fraction form
    496,872/774,828 = 774,828/x
  3. Step 3: Cross multiply
    496,872x = 774,828 × 774,828
  4. Step 4: Simplify right side
    496,872x = 600,358,429,584
  5. Step 5: Solve for x
    x = 600,358,429,584/496,872
  6. Step 6: Final answer
    x = 1,208,275.83

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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.