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Finding the Third Proportional to 485,002 and 734,210

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Solution

The third proportional to 485,002 and 734,210 is: 1,111,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,002 : 734,210 = 734,210 : x
  2. Step 2: Convert to fraction form
    485,002/734,210 = 734,210/x
  3. Step 3: Cross multiply
    485,002x = 734,210 × 734,210
  4. Step 4: Simplify right side
    485,002x = 539,064,324,100
  5. Step 5: Solve for x
    x = 539,064,324,100/485,002
  6. Step 6: Final answer
    x = 1,111,468.25

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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.