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Finding the Third Proportional to 259,896 and 569,426

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Solution

The third proportional to 259,896 and 569,426 is: 1,247,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,896 : 569,426 = 569,426 : x
  2. Step 2: Convert to fraction form
    259,896/569,426 = 569,426/x
  3. Step 3: Cross multiply
    259,896x = 569,426 × 569,426
  4. Step 4: Simplify right side
    259,896x = 324,245,969,476
  5. Step 5: Solve for x
    x = 324,245,969,476/259,896
  6. Step 6: Final answer
    x = 1,247,598.92

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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.