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Finding the Third Proportional to 268,707.75 and 586,537.50

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Solution

The third proportional to 268,707.75 and 586,537.50 is: 1,280,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,707.75 : 586,537.50 = 586,537.50 : x
  2. Step 2: Convert to fraction form
    268,707.75/586,537.50 = 586,537.50/x
  3. Step 3: Cross multiply
    268,707.75x = 586,537.50 × 586,537.50
  4. Step 4: Simplify right side
    268,707.75x = 344,026,238,906.25
  5. Step 5: Solve for x
    x = 344,026,238,906.25/268,707.75
  6. Step 6: Final answer
    x = 1,280,298.91

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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.