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Finding the Third Proportional to 269,921.53 and 590,689.97

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Solution

The third proportional to 269,921.53 and 590,689.97 is: 1,292,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,921.53 : 590,689.97 = 590,689.97 : x
  2. Step 2: Convert to fraction form
    269,921.53/590,689.97 = 590,689.97/x
  3. Step 3: Cross multiply
    269,921.53x = 590,689.97 × 590,689.97
  4. Step 4: Simplify right side
    269,921.53x = 348,914,639,181.88
  5. Step 5: Solve for x
    x = 348,914,639,181.88/269,921.53
  6. Step 6: Final answer
    x = 1,292,652.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.