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Finding the Third Proportional to 533,896 and 719,123

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Solution

The third proportional to 533,896 and 719,123 is: 968,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,896 : 719,123 = 719,123 : x
  2. Step 2: Convert to fraction form
    533,896/719,123 = 719,123/x
  3. Step 3: Cross multiply
    533,896x = 719,123 × 719,123
  4. Step 4: Simplify right side
    533,896x = 517,137,889,129
  5. Step 5: Solve for x
    x = 517,137,889,129/533,896
  6. Step 6: Final answer
    x = 968,611.66

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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.