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Finding the Third Proportional to 269,669.25 and 586,389.38

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Solution

The third proportional to 269,669.25 and 586,389.38 is: 1,275,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,669.25 : 586,389.38 = 586,389.38 : x
  2. Step 2: Convert to fraction form
    269,669.25/586,389.38 = 586,389.38/x
  3. Step 3: Cross multiply
    269,669.25x = 586,389.38 × 586,389.38
  4. Step 4: Simplify right side
    269,669.25x = 343,852,499,112.89
  5. Step 5: Solve for x
    x = 343,852,499,112.89/269,669.25
  6. Step 6: Final answer
    x = 1,275,089.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.