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Finding the Third Proportional to 394,848.91 and 577,465.52

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Solution

The third proportional to 394,848.91 and 577,465.52 is: 844,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,848.91 : 577,465.52 = 577,465.52 : x
  2. Step 2: Convert to fraction form
    394,848.91/577,465.52 = 577,465.52/x
  3. Step 3: Cross multiply
    394,848.91x = 577,465.52 × 577,465.52
  4. Step 4: Simplify right side
    394,848.91x = 333,466,430,758.95
  5. Step 5: Solve for x
    x = 333,466,430,758.95/394,848.91
  6. Step 6: Final answer
    x = 844,541.85

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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.