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Finding the Third Proportional to 746,787.50 and 1,131,465

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Solution

The third proportional to 746,787.50 and 1,131,465 is: 1,714,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,787.50 : 1,131,465 = 1,131,465 : x
  2. Step 2: Convert to fraction form
    746,787.50/1,131,465 = 1,131,465/x
  3. Step 3: Cross multiply
    746,787.50x = 1,131,465 × 1,131,465
  4. Step 4: Simplify right side
    746,787.50x = 1,280,213,046,225
  5. Step 5: Solve for x
    x = 1,280,213,046,225/746,787.50
  6. Step 6: Final answer
    x = 1,714,293.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.