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Finding the Third Proportional to 302,564 and 401,352

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Solution

The third proportional to 302,564 and 401,352 is: 532,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,564 : 401,352 = 401,352 : x
  2. Step 2: Convert to fraction form
    302,564/401,352 = 401,352/x
  3. Step 3: Cross multiply
    302,564x = 401,352 × 401,352
  4. Step 4: Simplify right side
    302,564x = 161,083,427,904
  5. Step 5: Solve for x
    x = 161,083,427,904/302,564
  6. Step 6: Final answer
    x = 532,394.56

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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.