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Finding the Third Proportional to 227,808 and 532,258

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Solution

The third proportional to 227,808 and 532,258 is: 1,243,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,808 : 532,258 = 532,258 : x
  2. Step 2: Convert to fraction form
    227,808/532,258 = 532,258/x
  3. Step 3: Cross multiply
    227,808x = 532,258 × 532,258
  4. Step 4: Simplify right side
    227,808x = 283,298,578,564
  5. Step 5: Solve for x
    x = 283,298,578,564/227,808
  6. Step 6: Final answer
    x = 1,243,584.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.