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Finding the Third Proportional to 268,712 and 585,808

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Solution

The third proportional to 268,712 and 585,808 is: 1,277,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,712 : 585,808 = 585,808 : x
  2. Step 2: Convert to fraction form
    268,712/585,808 = 585,808/x
  3. Step 3: Cross multiply
    268,712x = 585,808 × 585,808
  4. Step 4: Simplify right side
    268,712x = 343,171,012,864
  5. Step 5: Solve for x
    x = 343,171,012,864/268,712
  6. Step 6: Final answer
    x = 1,277,095.97

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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.