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Finding the Third Proportional to 533,888 and 719,112

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Solution

The third proportional to 533,888 and 719,112 is: 968,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,888 : 719,112 = 719,112 : x
  2. Step 2: Convert to fraction form
    533,888/719,112 = 719,112/x
  3. Step 3: Cross multiply
    533,888x = 719,112 × 719,112
  4. Step 4: Simplify right side
    533,888x = 517,122,068,544
  5. Step 5: Solve for x
    x = 517,122,068,544/533,888
  6. Step 6: Final answer
    x = 968,596.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.