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Finding the Third Proportional to 223,995 and 487,356

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Solution

The third proportional to 223,995 and 487,356 is: 1,060,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,995 : 487,356 = 487,356 : x
  2. Step 2: Convert to fraction form
    223,995/487,356 = 487,356/x
  3. Step 3: Cross multiply
    223,995x = 487,356 × 487,356
  4. Step 4: Simplify right side
    223,995x = 237,515,870,736
  5. Step 5: Solve for x
    x = 237,515,870,736/223,995
  6. Step 6: Final answer
    x = 1,060,362.38

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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.