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Finding the Third Proportional to 259,542 and 563,148

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Solution

The third proportional to 259,542 and 563,148 is: 1,221,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,542 : 563,148 = 563,148 : x
  2. Step 2: Convert to fraction form
    259,542/563,148 = 563,148/x
  3. Step 3: Cross multiply
    259,542x = 563,148 × 563,148
  4. Step 4: Simplify right side
    259,542x = 317,135,669,904
  5. Step 5: Solve for x
    x = 317,135,669,904/259,542
  6. Step 6: Final answer
    x = 1,221,905.01

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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.