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Finding the Third Proportional to 325,448 and 478,184

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Solution

The third proportional to 325,448 and 478,184 is: 702,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,448 : 478,184 = 478,184 : x
  2. Step 2: Convert to fraction form
    325,448/478,184 = 478,184/x
  3. Step 3: Cross multiply
    325,448x = 478,184 × 478,184
  4. Step 4: Simplify right side
    325,448x = 228,659,937,856
  5. Step 5: Solve for x
    x = 228,659,937,856/325,448
  6. Step 6: Final answer
    x = 702,600.53

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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.