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Finding the Third Proportional to 337,824 and 734,058

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Solution

The third proportional to 337,824 and 734,058 is: 1,595,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,824 : 734,058 = 734,058 : x
  2. Step 2: Convert to fraction form
    337,824/734,058 = 734,058/x
  3. Step 3: Cross multiply
    337,824x = 734,058 × 734,058
  4. Step 4: Simplify right side
    337,824x = 538,841,147,364
  5. Step 5: Solve for x
    x = 538,841,147,364/337,824
  6. Step 6: Final answer
    x = 1,595,035.13

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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.