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Finding the Third Proportional to 250,432 and 556,856

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Solution

The third proportional to 250,432 and 556,856 is: 1,238,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,432 : 556,856 = 556,856 : x
  2. Step 2: Convert to fraction form
    250,432/556,856 = 556,856/x
  3. Step 3: Cross multiply
    250,432x = 556,856 × 556,856
  4. Step 4: Simplify right side
    250,432x = 310,088,604,736
  5. Step 5: Solve for x
    x = 310,088,604,736/250,432
  6. Step 6: Final answer
    x = 1,238,214.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.