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Finding the Third Proportional to 237,718 and 522,086

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Solution

The third proportional to 237,718 and 522,086 is: 1,146,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,718 : 522,086 = 522,086 : x
  2. Step 2: Convert to fraction form
    237,718/522,086 = 522,086/x
  3. Step 3: Cross multiply
    237,718x = 522,086 × 522,086
  4. Step 4: Simplify right side
    237,718x = 272,573,791,396
  5. Step 5: Solve for x
    x = 272,573,791,396/237,718
  6. Step 6: Final answer
    x = 1,146,626.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.