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Finding the Third Proportional to 535,634 and 734,471

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Solution

The third proportional to 535,634 and 734,471 is: 1,007,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,634 : 734,471 = 734,471 : x
  2. Step 2: Convert to fraction form
    535,634/734,471 = 734,471/x
  3. Step 3: Cross multiply
    535,634x = 734,471 × 734,471
  4. Step 4: Simplify right side
    535,634x = 539,447,649,841
  5. Step 5: Solve for x
    x = 539,447,649,841/535,634
  6. Step 6: Final answer
    x = 1,007,119.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.