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Finding the Third Proportional to 248,508 and 536,364

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Solution

The third proportional to 248,508 and 536,364 is: 1,157,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,508 : 536,364 = 536,364 : x
  2. Step 2: Convert to fraction form
    248,508/536,364 = 536,364/x
  3. Step 3: Cross multiply
    248,508x = 536,364 × 536,364
  4. Step 4: Simplify right side
    248,508x = 287,686,340,496
  5. Step 5: Solve for x
    x = 287,686,340,496/248,508
  6. Step 6: Final answer
    x = 1,157,654.24

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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.