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Finding the Third Proportional to 434,233.50 and 942,738

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Solution

The third proportional to 434,233.50 and 942,738 is: 2,046,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,233.50 : 942,738 = 942,738 : x
  2. Step 2: Convert to fraction form
    434,233.50/942,738 = 942,738/x
  3. Step 3: Cross multiply
    434,233.50x = 942,738 × 942,738
  4. Step 4: Simplify right side
    434,233.50x = 888,754,936,644
  5. Step 5: Solve for x
    x = 888,754,936,644/434,233.50
  6. Step 6: Final answer
    x = 2,046,721.26

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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.