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Finding the Third Proportional to 268,946 and 585,206

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Solution

The third proportional to 268,946 and 585,206 is: 1,273,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,946 : 585,206 = 585,206 : x
  2. Step 2: Convert to fraction form
    268,946/585,206 = 585,206/x
  3. Step 3: Cross multiply
    268,946x = 585,206 × 585,206
  4. Step 4: Simplify right side
    268,946x = 342,466,062,436
  5. Step 5: Solve for x
    x = 342,466,062,436/268,946
  6. Step 6: Final answer
    x = 1,273,363.66

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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.