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Finding the Third Proportional to 248,233 and 535,822

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Solution

The third proportional to 248,233 and 535,822 is: 1,156,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,233 : 535,822 = 535,822 : x
  2. Step 2: Convert to fraction form
    248,233/535,822 = 535,822/x
  3. Step 3: Cross multiply
    248,233x = 535,822 × 535,822
  4. Step 4: Simplify right side
    248,233x = 287,105,215,684
  5. Step 5: Solve for x
    x = 287,105,215,684/248,233
  6. Step 6: Final answer
    x = 1,156,595.68

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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.