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Finding the Third Proportional to 533,892 and 719,118

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Solution

The third proportional to 533,892 and 719,118 is: 968,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,892 : 719,118 = 719,118 : x
  2. Step 2: Convert to fraction form
    533,892/719,118 = 719,118/x
  3. Step 3: Cross multiply
    533,892x = 719,118 × 719,118
  4. Step 4: Simplify right side
    533,892x = 517,130,697,924
  5. Step 5: Solve for x
    x = 517,130,697,924/533,892
  6. Step 6: Final answer
    x = 968,605.44

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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.