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Finding the Third Proportional to 349,710.75 and 443,566.13

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Solution

The third proportional to 349,710.75 and 443,566.13 is: 562,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,710.75 : 443,566.13 = 443,566.13 : x
  2. Step 2: Convert to fraction form
    349,710.75/443,566.13 = 443,566.13/x
  3. Step 3: Cross multiply
    349,710.75x = 443,566.13 × 443,566.13
  4. Step 4: Simplify right side
    349,710.75x = 196,750,907,247.52
  5. Step 5: Solve for x
    x = 196,750,907,247.52/349,710.75
  6. Step 6: Final answer
    x = 562,610.41

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.