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Finding the Third Proportional to 297,583 and 661,383

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Solution

The third proportional to 297,583 and 661,383 is: 1,469,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,583 : 661,383 = 661,383 : x
  2. Step 2: Convert to fraction form
    297,583/661,383 = 661,383/x
  3. Step 3: Cross multiply
    297,583x = 661,383 × 661,383
  4. Step 4: Simplify right side
    297,583x = 437,427,472,689
  5. Step 5: Solve for x
    x = 437,427,472,689/297,583
  6. Step 6: Final answer
    x = 1,469,934.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.