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Finding the Third Proportional to 245,856 and 536,393

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Solution

The third proportional to 245,856 and 536,393 is: 1,170,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,856 : 536,393 = 536,393 : x
  2. Step 2: Convert to fraction form
    245,856/536,393 = 536,393/x
  3. Step 3: Cross multiply
    245,856x = 536,393 × 536,393
  4. Step 4: Simplify right side
    245,856x = 287,717,450,449
  5. Step 5: Solve for x
    x = 287,717,450,449/245,856
  6. Step 6: Final answer
    x = 1,170,268.17

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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.