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Finding the Third Proportional to 531,933 and 797,898

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Solution

The third proportional to 531,933 and 797,898 is: 1,196,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,933 : 797,898 = 797,898 : x
  2. Step 2: Convert to fraction form
    531,933/797,898 = 797,898/x
  3. Step 3: Cross multiply
    531,933x = 797,898 × 797,898
  4. Step 4: Simplify right side
    531,933x = 636,641,218,404
  5. Step 5: Solve for x
    x = 636,641,218,404/531,933
  6. Step 6: Final answer
    x = 1,196,844.75

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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.