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Finding the Third Proportional to 485,002 and 734,213

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Solution

The third proportional to 485,002 and 734,213 is: 1,111,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,002 : 734,213 = 734,213 : x
  2. Step 2: Convert to fraction form
    485,002/734,213 = 734,213/x
  3. Step 3: Cross multiply
    485,002x = 734,213 × 734,213
  4. Step 4: Simplify right side
    485,002x = 539,068,729,369
  5. Step 5: Solve for x
    x = 539,068,729,369/485,002
  6. Step 6: Final answer
    x = 1,111,477.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.