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Finding the Third Proportional to 223,977 and 487,320

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Solution

The third proportional to 223,977 and 487,320 is: 1,060,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,977 : 487,320 = 487,320 : x
  2. Step 2: Convert to fraction form
    223,977/487,320 = 487,320/x
  3. Step 3: Cross multiply
    223,977x = 487,320 × 487,320
  4. Step 4: Simplify right side
    223,977x = 237,480,782,400
  5. Step 5: Solve for x
    x = 237,480,782,400/223,977
  6. Step 6: Final answer
    x = 1,060,290.93

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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.