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Finding the Third Proportional to 533,886 and 719,109

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Solution

The third proportional to 533,886 and 719,109 is: 968,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,886 : 719,109 = 719,109 : x
  2. Step 2: Convert to fraction form
    533,886/719,109 = 719,109/x
  3. Step 3: Cross multiply
    533,886x = 719,109 × 719,109
  4. Step 4: Simplify right side
    533,886x = 517,117,753,881
  5. Step 5: Solve for x
    x = 517,117,753,881/533,886
  6. Step 6: Final answer
    x = 968,592.08

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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.