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Finding the Third Proportional to 531,919 and 797,879

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Solution

The third proportional to 531,919 and 797,879 is: 1,196,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,919 : 797,879 = 797,879 : x
  2. Step 2: Convert to fraction form
    531,919/797,879 = 797,879/x
  3. Step 3: Cross multiply
    531,919x = 797,879 × 797,879
  4. Step 4: Simplify right side
    531,919x = 636,610,898,641
  5. Step 5: Solve for x
    x = 636,610,898,641/531,919
  6. Step 6: Final answer
    x = 1,196,819.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.