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Finding the Third Proportional to 361,104 and 782,472

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Solution

The third proportional to 361,104 and 782,472 is: 1,695,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104 : 782,472 = 782,472 : x
  2. Step 2: Convert to fraction form
    361,104/782,472 = 782,472/x
  3. Step 3: Cross multiply
    361,104x = 782,472 × 782,472
  4. Step 4: Simplify right side
    361,104x = 612,262,430,784
  5. Step 5: Solve for x
    x = 612,262,430,784/361,104
  6. Step 6: Final answer
    x = 1,695,529.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.