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Finding the Third Proportional to 250,720 and 522,176

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Solution

The third proportional to 250,720 and 522,176 is: 1,087,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,720 : 522,176 = 522,176 : x
  2. Step 2: Convert to fraction form
    250,720/522,176 = 522,176/x
  3. Step 3: Cross multiply
    250,720x = 522,176 × 522,176
  4. Step 4: Simplify right side
    250,720x = 272,667,774,976
  5. Step 5: Solve for x
    x = 272,667,774,976/250,720
  6. Step 6: Final answer
    x = 1,087,538.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.