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Finding the Third Proportional to 317,383 and 491,747

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Solution

The third proportional to 317,383 and 491,747 is: 761,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,383 : 491,747 = 491,747 : x
  2. Step 2: Convert to fraction form
    317,383/491,747 = 491,747/x
  3. Step 3: Cross multiply
    317,383x = 491,747 × 491,747
  4. Step 4: Simplify right side
    317,383x = 241,815,112,009
  5. Step 5: Solve for x
    x = 241,815,112,009/317,383
  6. Step 6: Final answer
    x = 761,903.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.