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Finding the Third Proportional to 367,719 and 506,394

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Solution

The third proportional to 367,719 and 506,394 is: 697,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,719 : 506,394 = 506,394 : x
  2. Step 2: Convert to fraction form
    367,719/506,394 = 506,394/x
  3. Step 3: Cross multiply
    367,719x = 506,394 × 506,394
  4. Step 4: Simplify right side
    367,719x = 256,434,883,236
  5. Step 5: Solve for x
    x = 256,434,883,236/367,719
  6. Step 6: Final answer
    x = 697,366.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.