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Finding the Third Proportional to 302,556 and 401,346

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Solution

The third proportional to 302,556 and 401,346 is: 532,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,556 : 401,346 = 401,346 : x
  2. Step 2: Convert to fraction form
    302,556/401,346 = 401,346/x
  3. Step 3: Cross multiply
    302,556x = 401,346 × 401,346
  4. Step 4: Simplify right side
    302,556x = 161,078,611,716
  5. Step 5: Solve for x
    x = 161,078,611,716/302,556
  6. Step 6: Final answer
    x = 532,392.72

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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.