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Finding the Third Proportional to 393,971 and 576,982

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Solution

The third proportional to 393,971 and 576,982 is: 845,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,971 : 576,982 = 576,982 : x
  2. Step 2: Convert to fraction form
    393,971/576,982 = 576,982/x
  3. Step 3: Cross multiply
    393,971x = 576,982 × 576,982
  4. Step 4: Simplify right side
    393,971x = 332,908,228,324
  5. Step 5: Solve for x
    x = 332,908,228,324/393,971
  6. Step 6: Final answer
    x = 845,006.94

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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.