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Finding the Third Proportional to 399,710 and 856,398

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Solution

The third proportional to 399,710 and 856,398 is: 1,834,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,710 : 856,398 = 856,398 : x
  2. Step 2: Convert to fraction form
    399,710/856,398 = 856,398/x
  3. Step 3: Cross multiply
    399,710x = 856,398 × 856,398
  4. Step 4: Simplify right side
    399,710x = 733,417,534,404
  5. Step 5: Solve for x
    x = 733,417,534,404/399,710
  6. Step 6: Final answer
    x = 1,834,874.12

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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.