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Finding the Third Proportional to 533,884 and 719,106

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Solution

The third proportional to 533,884 and 719,106 is: 968,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,884 : 719,106 = 719,106 : x
  2. Step 2: Convert to fraction form
    533,884/719,106 = 719,106/x
  3. Step 3: Cross multiply
    533,884x = 719,106 × 719,106
  4. Step 4: Simplify right side
    533,884x = 517,113,439,236
  5. Step 5: Solve for x
    x = 517,113,439,236/533,884
  6. Step 6: Final answer
    x = 968,587.63

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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.