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Finding the Third Proportional to 190,984 and 415,952

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Solution

The third proportional to 190,984 and 415,952 is: 905,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,984 : 415,952 = 415,952 : x
  2. Step 2: Convert to fraction form
    190,984/415,952 = 415,952/x
  3. Step 3: Cross multiply
    190,984x = 415,952 × 415,952
  4. Step 4: Simplify right side
    190,984x = 173,016,066,304
  5. Step 5: Solve for x
    x = 173,016,066,304/190,984
  6. Step 6: Final answer
    x = 905,919.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.