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Finding the Third Proportional to 347,556 and 758,976

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Solution

The third proportional to 347,556 and 758,976 is: 1,657,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,556 : 758,976 = 758,976 : x
  2. Step 2: Convert to fraction form
    347,556/758,976 = 758,976/x
  3. Step 3: Cross multiply
    347,556x = 758,976 × 758,976
  4. Step 4: Simplify right side
    347,556x = 576,044,568,576
  5. Step 5: Solve for x
    x = 576,044,568,576/347,556
  6. Step 6: Final answer
    x = 1,657,415.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.