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Finding the Third Proportional to 347,520 and 754,824

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Solution

The third proportional to 347,520 and 754,824 is: 1,639,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,520 : 754,824 = 754,824 : x
  2. Step 2: Convert to fraction form
    347,520/754,824 = 754,824/x
  3. Step 3: Cross multiply
    347,520x = 754,824 × 754,824
  4. Step 4: Simplify right side
    347,520x = 569,759,270,976
  5. Step 5: Solve for x
    x = 569,759,270,976/347,520
  6. Step 6: Final answer
    x = 1,639,500.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.