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Finding the Third Proportional to 322,400 and 508,332

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Solution

The third proportional to 322,400 and 508,332 is: 801,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,400 : 508,332 = 508,332 : x
  2. Step 2: Convert to fraction form
    322,400/508,332 = 508,332/x
  3. Step 3: Cross multiply
    322,400x = 508,332 × 508,332
  4. Step 4: Simplify right side
    322,400x = 258,401,422,224
  5. Step 5: Solve for x
    x = 258,401,422,224/322,400
  6. Step 6: Final answer
    x = 801,493.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.