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Finding the Third Proportional to 342,346.50 and 500,843.25

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Solution

The third proportional to 342,346.50 and 500,843.25 is: 732,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,346.50 : 500,843.25 = 500,843.25 : x
  2. Step 2: Convert to fraction form
    342,346.50/500,843.25 = 500,843.25/x
  3. Step 3: Cross multiply
    342,346.50x = 500,843.25 × 500,843.25
  4. Step 4: Simplify right side
    342,346.50x = 250,843,961,070.56
  5. Step 5: Solve for x
    x = 250,843,961,070.56/342,346.50
  6. Step 6: Final answer
    x = 732,719.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.