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Finding the Third Proportional to 301,142 and 440,394

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Solution

The third proportional to 301,142 and 440,394 is: 644,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,142 : 440,394 = 440,394 : x
  2. Step 2: Convert to fraction form
    301,142/440,394 = 440,394/x
  3. Step 3: Cross multiply
    301,142x = 440,394 × 440,394
  4. Step 4: Simplify right side
    301,142x = 193,946,875,236
  5. Step 5: Solve for x
    x = 193,946,875,236/301,142
  6. Step 6: Final answer
    x = 644,037.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.