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Finding the Third Proportional to 276,304 and 572,264

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Solution

The third proportional to 276,304 and 572,264 is: 1,185,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,304 : 572,264 = 572,264 : x
  2. Step 2: Convert to fraction form
    276,304/572,264 = 572,264/x
  3. Step 3: Cross multiply
    276,304x = 572,264 × 572,264
  4. Step 4: Simplify right side
    276,304x = 327,486,085,696
  5. Step 5: Solve for x
    x = 327,486,085,696/276,304
  6. Step 6: Final answer
    x = 1,185,238.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.