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Finding the Third Proportional to 485,004.75 and 734,216.63

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Solution

The third proportional to 485,004.75 and 734,216.63 is: 1,111,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,004.75 : 734,216.63 = 734,216.63 : x
  2. Step 2: Convert to fraction form
    485,004.75/734,216.63 = 734,216.63/x
  3. Step 3: Cross multiply
    485,004.75x = 734,216.63 × 734,216.63
  4. Step 4: Simplify right side
    485,004.75x = 539,074,052,426.39
  5. Step 5: Solve for x
    x = 539,074,052,426.39/485,004.75
  6. Step 6: Final answer
    x = 1,111,482.01

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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.