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Finding the Third Proportional to 484,877.25 and 734,064.75

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Solution

The third proportional to 484,877.25 and 734,064.75 is: 1,111,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,877.25 : 734,064.75 = 734,064.75 : x
  2. Step 2: Convert to fraction form
    484,877.25/734,064.75 = 734,064.75/x
  3. Step 3: Cross multiply
    484,877.25x = 734,064.75 × 734,064.75
  4. Step 4: Simplify right side
    484,877.25x = 538,851,057,192.56
  5. Step 5: Solve for x
    x = 538,851,057,192.56/484,877.25
  6. Step 6: Final answer
    x = 1,111,314.37

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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.