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Finding the Third Proportional to 485,007 and 734,217.75

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Solution

The third proportional to 485,007 and 734,217.75 is: 1,111,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,007 : 734,217.75 = 734,217.75 : x
  2. Step 2: Convert to fraction form
    485,007/734,217.75 = 734,217.75/x
  3. Step 3: Cross multiply
    485,007x = 734,217.75 × 734,217.75
  4. Step 4: Simplify right side
    485,007x = 539,075,704,415.06
  5. Step 5: Solve for x
    x = 539,075,704,415.06/485,007
  6. Step 6: Final answer
    x = 1,111,480.26

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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.