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Finding the Third Proportional to 302,251.50 and 423,650.25

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Solution

The third proportional to 302,251.50 and 423,650.25 is: 593,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,251.50 : 423,650.25 = 423,650.25 : x
  2. Step 2: Convert to fraction form
    302,251.50/423,650.25 = 423,650.25/x
  3. Step 3: Cross multiply
    302,251.50x = 423,650.25 × 423,650.25
  4. Step 4: Simplify right side
    302,251.50x = 179,479,534,325.06
  5. Step 5: Solve for x
    x = 179,479,534,325.06/302,251.50
  6. Step 6: Final answer
    x = 593,808.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.