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Finding the Third Proportional to 350.06 and 501.56

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Solution

The third proportional to 350.06 and 501.56 is: 718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.06 : 501.56 = 501.56 : x
  2. Step 2: Convert to fraction form
    350.06/501.56 = 501.56/x
  3. Step 3: Cross multiply
    350.06x = 501.56 × 501.56
  4. Step 4: Simplify right side
    350.06x = 251,564.94
  5. Step 5: Solve for x
    x = 251,564.94/350.06
  6. Step 6: Final answer
    x = 718.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.