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Finding the Third Proportional to 307,173 and 480,824.63

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Solution

The third proportional to 307,173 and 480,824.63 is: 752,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,173 : 480,824.63 = 480,824.63 : x
  2. Step 2: Convert to fraction form
    307,173/480,824.63 = 480,824.63/x
  3. Step 3: Cross multiply
    307,173x = 480,824.63 × 480,824.63
  4. Step 4: Simplify right side
    307,173x = 231,192,320,006.39
  5. Step 5: Solve for x
    x = 231,192,320,006.39/307,173
  6. Step 6: Final answer
    x = 752,645.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.