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Finding the Third Proportional to 259,584 and 563,232

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Solution

The third proportional to 259,584 and 563,232 is: 1,222,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,584 : 563,232 = 563,232 : x
  2. Step 2: Convert to fraction form
    259,584/563,232 = 563,232/x
  3. Step 3: Cross multiply
    259,584x = 563,232 × 563,232
  4. Step 4: Simplify right side
    259,584x = 317,230,285,824
  5. Step 5: Solve for x
    x = 317,230,285,824/259,584
  6. Step 6: Final answer
    x = 1,222,071.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.