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Finding the Third Proportional to 250,740 and 522,216

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Solution

The third proportional to 250,740 and 522,216 is: 1,087,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,740 : 522,216 = 522,216 : x
  2. Step 2: Convert to fraction form
    250,740/522,216 = 522,216/x
  3. Step 3: Cross multiply
    250,740x = 522,216 × 522,216
  4. Step 4: Simplify right side
    250,740x = 272,709,550,656
  5. Step 5: Solve for x
    x = 272,709,550,656/250,740
  6. Step 6: Final answer
    x = 1,087,618.85

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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.