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Finding the Third Proportional to 268,548 and 585,028

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Solution

The third proportional to 268,548 and 585,028 is: 1,274,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,548 : 585,028 = 585,028 : x
  2. Step 2: Convert to fraction form
    268,548/585,028 = 585,028/x
  3. Step 3: Cross multiply
    268,548x = 585,028 × 585,028
  4. Step 4: Simplify right side
    268,548x = 342,257,760,784
  5. Step 5: Solve for x
    x = 342,257,760,784/268,548
  6. Step 6: Final answer
    x = 1,274,475.18

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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.