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Finding the Third Proportional to 314,933.50 and 478,232.50

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Solution

The third proportional to 314,933.50 and 478,232.50 is: 726,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,933.50 : 478,232.50 = 478,232.50 : x
  2. Step 2: Convert to fraction form
    314,933.50/478,232.50 = 478,232.50/x
  3. Step 3: Cross multiply
    314,933.50x = 478,232.50 × 478,232.50
  4. Step 4: Simplify right side
    314,933.50x = 228,706,324,056.25
  5. Step 5: Solve for x
    x = 228,706,324,056.25/314,933.50
  6. Step 6: Final answer
    x = 726,205.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.