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Finding the Third Proportional to 302,564 and 401,356

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Solution

The third proportional to 302,564 and 401,356 is: 532,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,564 : 401,356 = 401,356 : x
  2. Step 2: Convert to fraction form
    302,564/401,356 = 401,356/x
  3. Step 3: Cross multiply
    302,564x = 401,356 × 401,356
  4. Step 4: Simplify right side
    302,564x = 161,086,638,736
  5. Step 5: Solve for x
    x = 161,086,638,736/302,564
  6. Step 6: Final answer
    x = 532,405.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.