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Finding the Third Proportional to 394,526 and 577,023

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Solution

The third proportional to 394,526 and 577,023 is: 843,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,526 : 577,023 = 577,023 : x
  2. Step 2: Convert to fraction form
    394,526/577,023 = 577,023/x
  3. Step 3: Cross multiply
    394,526x = 577,023 × 577,023
  4. Step 4: Simplify right side
    394,526x = 332,955,542,529
  5. Step 5: Solve for x
    x = 332,955,542,529/394,526
  6. Step 6: Final answer
    x = 843,938.15

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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.