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Finding the Third Proportional to 268,957.13 and 585,228.38

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Solution

The third proportional to 268,957.13 and 585,228.38 is: 1,273,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,957.13 : 585,228.38 = 585,228.38 : x
  2. Step 2: Convert to fraction form
    268,957.13/585,228.38 = 585,228.38/x
  3. Step 3: Cross multiply
    268,957.13x = 585,228.38 × 585,228.38
  4. Step 4: Simplify right side
    268,957.13x = 342,492,250,905.14
  5. Step 5: Solve for x
    x = 342,492,250,905.14/268,957.13
  6. Step 6: Final answer
    x = 1,273,408.36

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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.