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Finding the Third Proportional to 321,580.13 and 472,736.25

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Solution

The third proportional to 321,580.13 and 472,736.25 is: 694,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,580.13 : 472,736.25 = 472,736.25 : x
  2. Step 2: Convert to fraction form
    321,580.13/472,736.25 = 472,736.25/x
  3. Step 3: Cross multiply
    321,580.13x = 472,736.25 × 472,736.25
  4. Step 4: Simplify right side
    321,580.13x = 223,479,562,064.06
  5. Step 5: Solve for x
    x = 223,479,562,064.06/321,580.13
  6. Step 6: Final answer
    x = 694,942.08

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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.