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Finding the Third Proportional to 623,976.75 and 962,401.50

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Solution

The third proportional to 623,976.75 and 962,401.50 is: 1,484,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,976.75 : 962,401.50 = 962,401.50 : x
  2. Step 2: Convert to fraction form
    623,976.75/962,401.50 = 962,401.50/x
  3. Step 3: Cross multiply
    623,976.75x = 962,401.50 × 962,401.50
  4. Step 4: Simplify right side
    623,976.75x = 926,216,647,202.25
  5. Step 5: Solve for x
    x = 926,216,647,202.25/623,976.75
  6. Step 6: Final answer
    x = 1,484,376.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.