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Finding the Third Proportional to 190,032 and 410,496

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Solution

The third proportional to 190,032 and 410,496 is: 886,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,032 : 410,496 = 410,496 : x
  2. Step 2: Convert to fraction form
    190,032/410,496 = 410,496/x
  3. Step 3: Cross multiply
    190,032x = 410,496 × 410,496
  4. Step 4: Simplify right side
    190,032x = 168,506,966,016
  5. Step 5: Solve for x
    x = 168,506,966,016/190,032
  6. Step 6: Final answer
    x = 886,729.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.