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Finding the Third Proportional to 259,884 and 569,412

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Solution

The third proportional to 259,884 and 569,412 is: 1,247,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,884 : 569,412 = 569,412 : x
  2. Step 2: Convert to fraction form
    259,884/569,412 = 569,412/x
  3. Step 3: Cross multiply
    259,884x = 569,412 × 569,412
  4. Step 4: Simplify right side
    259,884x = 324,230,025,744
  5. Step 5: Solve for x
    x = 324,230,025,744/259,884
  6. Step 6: Final answer
    x = 1,247,595.18

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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.