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Finding the Third Proportional to 360,812.50 and 774,932

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Solution

The third proportional to 360,812.50 and 774,932 is: 1,664,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,812.50 : 774,932 = 774,932 : x
  2. Step 2: Convert to fraction form
    360,812.50/774,932 = 774,932/x
  3. Step 3: Cross multiply
    360,812.50x = 774,932 × 774,932
  4. Step 4: Simplify right side
    360,812.50x = 600,519,604,624
  5. Step 5: Solve for x
    x = 600,519,604,624/360,812.50
  6. Step 6: Final answer
    x = 1,664,353.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.