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Finding the Third Proportional to 394,848.95 and 577,465.56

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Solution

The third proportional to 394,848.95 and 577,465.56 is: 844,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,848.95 : 577,465.56 = 577,465.56 : x
  2. Step 2: Convert to fraction form
    394,848.95/577,465.56 = 577,465.56/x
  3. Step 3: Cross multiply
    394,848.95x = 577,465.56 × 577,465.56
  4. Step 4: Simplify right side
    394,848.95x = 333,466,471,361.99
  5. Step 5: Solve for x
    x = 333,466,471,361.99/394,848.95
  6. Step 6: Final answer
    x = 844,541.87

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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.