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Finding the Third Proportional to 245,702 and 535,872

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Solution

The third proportional to 245,702 and 535,872 is: 1,168,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,702 : 535,872 = 535,872 : x
  2. Step 2: Convert to fraction form
    245,702/535,872 = 535,872/x
  3. Step 3: Cross multiply
    245,702x = 535,872 × 535,872
  4. Step 4: Simplify right side
    245,702x = 287,158,800,384
  5. Step 5: Solve for x
    x = 287,158,800,384/245,702
  6. Step 6: Final answer
    x = 1,168,727.97

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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.