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Finding the Third Proportional to 248,472 and 536,286

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Solution

The third proportional to 248,472 and 536,286 is: 1,157,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,472 : 536,286 = 536,286 : x
  2. Step 2: Convert to fraction form
    248,472/536,286 = 536,286/x
  3. Step 3: Cross multiply
    248,472x = 536,286 × 536,286
  4. Step 4: Simplify right side
    248,472x = 287,602,673,796
  5. Step 5: Solve for x
    x = 287,602,673,796/248,472
  6. Step 6: Final answer
    x = 1,157,485.25

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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.