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Finding the Third Proportional to 240,744.75 and 569,334

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Solution

The third proportional to 240,744.75 and 569,334 is: 1,346,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,744.75 : 569,334 = 569,334 : x
  2. Step 2: Convert to fraction form
    240,744.75/569,334 = 569,334/x
  3. Step 3: Cross multiply
    240,744.75x = 569,334 × 569,334
  4. Step 4: Simplify right side
    240,744.75x = 324,141,203,556
  5. Step 5: Solve for x
    x = 324,141,203,556/240,744.75
  6. Step 6: Final answer
    x = 1,346,410.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.