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Finding the Third Proportional to 276,306 and 572,268

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Solution

The third proportional to 276,306 and 572,268 is: 1,185,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,306 : 572,268 = 572,268 : x
  2. Step 2: Convert to fraction form
    276,306/572,268 = 572,268/x
  3. Step 3: Cross multiply
    276,306x = 572,268 × 572,268
  4. Step 4: Simplify right side
    276,306x = 327,490,663,824
  5. Step 5: Solve for x
    x = 327,490,663,824/276,306
  6. Step 6: Final answer
    x = 1,185,246.30

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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.