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Finding the Third Proportional to 310,841.44 and 467,416.13

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Solution

The third proportional to 310,841.44 and 467,416.13 is: 702,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,841.44 : 467,416.13 = 467,416.13 : x
  2. Step 2: Convert to fraction form
    310,841.44/467,416.13 = 467,416.13/x
  3. Step 3: Cross multiply
    310,841.44x = 467,416.13 × 467,416.13
  4. Step 4: Simplify right side
    310,841.44x = 218,477,833,910.02
  5. Step 5: Solve for x
    x = 218,477,833,910.02/310,841.44
  6. Step 6: Final answer
    x = 702,859.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.