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Finding the Third Proportional to 248,045 and 537,274

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Solution

The third proportional to 248,045 and 537,274 is: 1,163,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,045 : 537,274 = 537,274 : x
  2. Step 2: Convert to fraction form
    248,045/537,274 = 537,274/x
  3. Step 3: Cross multiply
    248,045x = 537,274 × 537,274
  4. Step 4: Simplify right side
    248,045x = 288,663,351,076
  5. Step 5: Solve for x
    x = 288,663,351,076/248,045
  6. Step 6: Final answer
    x = 1,163,753.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.