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Finding the Third Proportional to 472,594.50 and 717,629.63

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Solution

The third proportional to 472,594.50 and 717,629.63 is: 1,089,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,594.50 : 717,629.63 = 717,629.63 : x
  2. Step 2: Convert to fraction form
    472,594.50/717,629.63 = 717,629.63/x
  3. Step 3: Cross multiply
    472,594.50x = 717,629.63 × 717,629.63
  4. Step 4: Simplify right side
    472,594.50x = 514,992,278,677.64
  5. Step 5: Solve for x
    x = 514,992,278,677.64/472,594.50
  6. Step 6: Final answer
    x = 1,089,712.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.