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Finding the Third Proportional to 248,680 and 532,262

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Solution

The third proportional to 248,680 and 532,262 is: 1,139,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,680 : 532,262 = 532,262 : x
  2. Step 2: Convert to fraction form
    248,680/532,262 = 532,262/x
  3. Step 3: Cross multiply
    248,680x = 532,262 × 532,262
  4. Step 4: Simplify right side
    248,680x = 283,302,836,644
  5. Step 5: Solve for x
    x = 283,302,836,644/248,680
  6. Step 6: Final answer
    x = 1,139,226.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.