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Finding the Third Proportional to 351,144 and 501,808.50

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Solution

The third proportional to 351,144 and 501,808.50 is: 717,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,144 : 501,808.50 = 501,808.50 : x
  2. Step 2: Convert to fraction form
    351,144/501,808.50 = 501,808.50/x
  3. Step 3: Cross multiply
    351,144x = 501,808.50 × 501,808.50
  4. Step 4: Simplify right side
    351,144x = 251,811,770,672.25
  5. Step 5: Solve for x
    x = 251,811,770,672.25/351,144
  6. Step 6: Final answer
    x = 717,118.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.