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Finding the Third Proportional to 491,698 and 759,383

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Solution

The third proportional to 491,698 and 759,383 is: 1,172,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,698 : 759,383 = 759,383 : x
  2. Step 2: Convert to fraction form
    491,698/759,383 = 759,383/x
  3. Step 3: Cross multiply
    491,698x = 759,383 × 759,383
  4. Step 4: Simplify right side
    491,698x = 576,662,540,689
  5. Step 5: Solve for x
    x = 576,662,540,689/491,698
  6. Step 6: Final answer
    x = 1,172,798.22

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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.