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Finding the Third Proportional to 223,552 and 488,576

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Solution

The third proportional to 223,552 and 488,576 is: 1,067,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,552 : 488,576 = 488,576 : x
  2. Step 2: Convert to fraction form
    223,552/488,576 = 488,576/x
  3. Step 3: Cross multiply
    223,552x = 488,576 × 488,576
  4. Step 4: Simplify right side
    223,552x = 238,706,507,776
  5. Step 5: Solve for x
    x = 238,706,507,776/223,552
  6. Step 6: Final answer
    x = 1,067,789.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.