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Finding the Third Proportional to 350,024 and 749,616

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Solution

The third proportional to 350,024 and 749,616 is: 1,605,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,024 : 749,616 = 749,616 : x
  2. Step 2: Convert to fraction form
    350,024/749,616 = 749,616/x
  3. Step 3: Cross multiply
    350,024x = 749,616 × 749,616
  4. Step 4: Simplify right side
    350,024x = 561,924,147,456
  5. Step 5: Solve for x
    x = 561,924,147,456/350,024
  6. Step 6: Final answer
    x = 1,605,387.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.