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Finding the Third Proportional to 484,997.63 and 734,204.25

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Solution

The third proportional to 484,997.63 and 734,204.25 is: 1,111,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,997.63 : 734,204.25 = 734,204.25 : x
  2. Step 2: Convert to fraction form
    484,997.63/734,204.25 = 734,204.25/x
  3. Step 3: Cross multiply
    484,997.63x = 734,204.25 × 734,204.25
  4. Step 4: Simplify right side
    484,997.63x = 539,055,880,718.06
  5. Step 5: Solve for x
    x = 539,055,880,718.06/484,997.63
  6. Step 6: Final answer
    x = 1,111,460.87

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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.