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Finding the Third Proportional to 269,983.13 and 573,169.92

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Solution

The third proportional to 269,983.13 and 573,169.92 is: 1,216,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,983.13 : 573,169.92 = 573,169.92 : x
  2. Step 2: Convert to fraction form
    269,983.13/573,169.92 = 573,169.92/x
  3. Step 3: Cross multiply
    269,983.13x = 573,169.92 × 573,169.92
  4. Step 4: Simplify right side
    269,983.13x = 328,523,759,342.19
  5. Step 5: Solve for x
    x = 328,523,759,342.19/269,983.13
  6. Step 6: Final answer
    x = 1,216,830.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.