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Finding the Third Proportional to 276,404 and 572,488

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Solution

The third proportional to 276,404 and 572,488 is: 1,185,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,404 : 572,488 = 572,488 : x
  2. Step 2: Convert to fraction form
    276,404/572,488 = 572,488/x
  3. Step 3: Cross multiply
    276,404x = 572,488 × 572,488
  4. Step 4: Simplify right side
    276,404x = 327,742,510,144
  5. Step 5: Solve for x
    x = 327,742,510,144/276,404
  6. Step 6: Final answer
    x = 1,185,737.22

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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.