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Finding the Third Proportional to 522,716.63 and 768,764.25

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Solution

The third proportional to 522,716.63 and 768,764.25 is: 1,130,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,716.63 : 768,764.25 = 768,764.25 : x
  2. Step 2: Convert to fraction form
    522,716.63/768,764.25 = 768,764.25/x
  3. Step 3: Cross multiply
    522,716.63x = 768,764.25 × 768,764.25
  4. Step 4: Simplify right side
    522,716.63x = 590,998,472,078.06
  5. Step 5: Solve for x
    x = 590,998,472,078.06/522,716.63
  6. Step 6: Final answer
    x = 1,130,628.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.