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Finding the Third Proportional to 302,962.78 and 469,754.86

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Solution

The third proportional to 302,962.78 and 469,754.86 is: 728,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,962.78 : 469,754.86 = 469,754.86 : x
  2. Step 2: Convert to fraction form
    302,962.78/469,754.86 = 469,754.86/x
  3. Step 3: Cross multiply
    302,962.78x = 469,754.86 × 469,754.86
  4. Step 4: Simplify right side
    302,962.78x = 220,669,627,906.43
  5. Step 5: Solve for x
    x = 220,669,627,906.43/302,962.78
  6. Step 6: Final answer
    x = 728,372.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.