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Finding the Third Proportional to 302,337.56 and 437,043.09

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Solution

The third proportional to 302,337.56 and 437,043.09 is: 631,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,337.56 : 437,043.09 = 437,043.09 : x
  2. Step 2: Convert to fraction form
    302,337.56/437,043.09 = 437,043.09/x
  3. Step 3: Cross multiply
    302,337.56x = 437,043.09 × 437,043.09
  4. Step 4: Simplify right side
    302,337.56x = 191,006,665,794.57
  5. Step 5: Solve for x
    x = 191,006,665,794.57/302,337.56
  6. Step 6: Final answer
    x = 631,766.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.