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Finding the Third Proportional to 269,492.13 and 586,795.25

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Solution

The third proportional to 269,492.13 and 586,795.25 is: 1,277,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,492.13 : 586,795.25 = 586,795.25 : x
  2. Step 2: Convert to fraction form
    269,492.13/586,795.25 = 586,795.25/x
  3. Step 3: Cross multiply
    269,492.13x = 586,795.25 × 586,795.25
  4. Step 4: Simplify right side
    269,492.13x = 344,328,665,422.56
  5. Step 5: Solve for x
    x = 344,328,665,422.56/269,492.13
  6. Step 6: Final answer
    x = 1,277,694.72

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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.