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Finding the Third Proportional to 259,400 and 564,232

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Solution

The third proportional to 259,400 and 564,232 is: 1,227,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,400 : 564,232 = 564,232 : x
  2. Step 2: Convert to fraction form
    259,400/564,232 = 564,232/x
  3. Step 3: Cross multiply
    259,400x = 564,232 × 564,232
  4. Step 4: Simplify right side
    259,400x = 318,357,749,824
  5. Step 5: Solve for x
    x = 318,357,749,824/259,400
  6. Step 6: Final answer
    x = 1,227,285.08

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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.