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Finding the Third Proportional to 296,949.38 and 647,497.13

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Solution

The third proportional to 296,949.38 and 647,497.13 is: 1,411,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,949.38 : 647,497.13 = 647,497.13 : x
  2. Step 2: Convert to fraction form
    296,949.38/647,497.13 = 647,497.13/x
  3. Step 3: Cross multiply
    296,949.38x = 647,497.13 × 647,497.13
  4. Step 4: Simplify right side
    296,949.38x = 419,252,526,883.27
  5. Step 5: Solve for x
    x = 419,252,526,883.27/296,949.38
  6. Step 6: Final answer
    x = 1,411,865.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.