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Finding the Third Proportional to 233,734.50 and 496,629

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Solution

The third proportional to 233,734.50 and 496,629 is: 1,055,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,734.50 : 496,629 = 496,629 : x
  2. Step 2: Convert to fraction form
    233,734.50/496,629 = 496,629/x
  3. Step 3: Cross multiply
    233,734.50x = 496,629 × 496,629
  4. Step 4: Simplify right side
    233,734.50x = 246,640,363,641
  5. Step 5: Solve for x
    x = 246,640,363,641/233,734.50
  6. Step 6: Final answer
    x = 1,055,215.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.