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Finding the Third Proportional to 245,857 and 536,395

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Solution

The third proportional to 245,857 and 536,395 is: 1,170,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,857 : 536,395 = 536,395 : x
  2. Step 2: Convert to fraction form
    245,857/536,395 = 536,395/x
  3. Step 3: Cross multiply
    245,857x = 536,395 × 536,395
  4. Step 4: Simplify right side
    245,857x = 287,719,596,025
  5. Step 5: Solve for x
    x = 287,719,596,025/245,857
  6. Step 6: Final answer
    x = 1,170,272.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.