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Finding the Third Proportional to 223,896 and 487,176

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Solution

The third proportional to 223,896 and 487,176 is: 1,060,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896 : 487,176 = 487,176 : x
  2. Step 2: Convert to fraction form
    223,896/487,176 = 487,176/x
  3. Step 3: Cross multiply
    223,896x = 487,176 × 487,176
  4. Step 4: Simplify right side
    223,896x = 237,340,454,976
  5. Step 5: Solve for x
    x = 237,340,454,976/223,896
  6. Step 6: Final answer
    x = 1,060,047.77

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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.