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Finding the Third Proportional to 248,697 and 536,274

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Solution

The third proportional to 248,697 and 536,274 is: 1,156,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,697 : 536,274 = 536,274 : x
  2. Step 2: Convert to fraction form
    248,697/536,274 = 536,274/x
  3. Step 3: Cross multiply
    248,697x = 536,274 × 536,274
  4. Step 4: Simplify right side
    248,697x = 287,589,803,076
  5. Step 5: Solve for x
    x = 287,589,803,076/248,697
  6. Step 6: Final answer
    x = 1,156,386.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.