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Finding the Third Proportional to 344,334 and 749,640

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Solution

The third proportional to 344,334 and 749,640 is: 1,632,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,334 : 749,640 = 749,640 : x
  2. Step 2: Convert to fraction form
    344,334/749,640 = 749,640/x
  3. Step 3: Cross multiply
    344,334x = 749,640 × 749,640
  4. Step 4: Simplify right side
    344,334x = 561,960,129,600
  5. Step 5: Solve for x
    x = 561,960,129,600/344,334
  6. Step 6: Final answer
    x = 1,632,020.45

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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.