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Finding the Third Proportional to 344,334.75 and 747,639.75

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Solution

The third proportional to 344,334.75 and 747,639.75 is: 1,623,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,334.75 : 747,639.75 = 747,639.75 : x
  2. Step 2: Convert to fraction form
    344,334.75/747,639.75 = 747,639.75/x
  3. Step 3: Cross multiply
    344,334.75x = 747,639.75 × 747,639.75
  4. Step 4: Simplify right side
    344,334.75x = 558,965,195,780.06
  5. Step 5: Solve for x
    x = 558,965,195,780.06/344,334.75
  6. Step 6: Final answer
    x = 1,623,319.16

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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.