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Finding the Third Proportional to 336,717 and 748,168

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Solution

The third proportional to 336,717 and 748,168 is: 1,662,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,717 : 748,168 = 748,168 : x
  2. Step 2: Convert to fraction form
    336,717/748,168 = 748,168/x
  3. Step 3: Cross multiply
    336,717x = 748,168 × 748,168
  4. Step 4: Simplify right side
    336,717x = 559,755,356,224
  5. Step 5: Solve for x
    x = 559,755,356,224/336,717
  6. Step 6: Final answer
    x = 1,662,391.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.