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Finding the Third Proportional to 349,343.44 and 525,764.25

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Solution

The third proportional to 349,343.44 and 525,764.25 is: 791,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,343.44 : 525,764.25 = 525,764.25 : x
  2. Step 2: Convert to fraction form
    349,343.44/525,764.25 = 525,764.25/x
  3. Step 3: Cross multiply
    349,343.44x = 525,764.25 × 525,764.25
  4. Step 4: Simplify right side
    349,343.44x = 276,428,046,578.06
  5. Step 5: Solve for x
    x = 276,428,046,578.06/349,343.44
  6. Step 6: Final answer
    x = 791,278.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.