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Finding the Third Proportional to 360,817.50 and 774,942

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Solution

The third proportional to 360,817.50 and 774,942 is: 1,664,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,817.50 : 774,942 = 774,942 : x
  2. Step 2: Convert to fraction form
    360,817.50/774,942 = 774,942/x
  3. Step 3: Cross multiply
    360,817.50x = 774,942 × 774,942
  4. Step 4: Simplify right side
    360,817.50x = 600,535,103,364
  5. Step 5: Solve for x
    x = 600,535,103,364/360,817.50
  6. Step 6: Final answer
    x = 1,664,373.55

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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.