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Finding the Third Proportional to 343,947 and 467,071.25

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Solution

The third proportional to 343,947 and 467,071.25 is: 634,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,947 : 467,071.25 = 467,071.25 : x
  2. Step 2: Convert to fraction form
    343,947/467,071.25 = 467,071.25/x
  3. Step 3: Cross multiply
    343,947x = 467,071.25 × 467,071.25
  4. Step 4: Simplify right side
    343,947x = 218,155,552,576.56
  5. Step 5: Solve for x
    x = 218,155,552,576.56/343,947
  6. Step 6: Final answer
    x = 634,270.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.