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Finding the Third Proportional to 276,342 and 572,364

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Solution

The third proportional to 276,342 and 572,364 is: 1,185,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,342 : 572,364 = 572,364 : x
  2. Step 2: Convert to fraction form
    276,342/572,364 = 572,364/x
  3. Step 3: Cross multiply
    276,342x = 572,364 × 572,364
  4. Step 4: Simplify right side
    276,342x = 327,600,548,496
  5. Step 5: Solve for x
    x = 327,600,548,496/276,342
  6. Step 6: Final answer
    x = 1,185,489.53

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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.