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Finding the Third Proportional to 190,609 and 407,394

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Solution

The third proportional to 190,609 and 407,394 is: 870,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,609 : 407,394 = 407,394 : x
  2. Step 2: Convert to fraction form
    190,609/407,394 = 407,394/x
  3. Step 3: Cross multiply
    190,609x = 407,394 × 407,394
  4. Step 4: Simplify right side
    190,609x = 165,969,871,236
  5. Step 5: Solve for x
    x = 165,969,871,236/190,609
  6. Step 6: Final answer
    x = 870,734.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.