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Finding the Third Proportional to 383,275.50 and 806,271

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Solution

The third proportional to 383,275.50 and 806,271 is: 1,696,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,275.50 : 806,271 = 806,271 : x
  2. Step 2: Convert to fraction form
    383,275.50/806,271 = 806,271/x
  3. Step 3: Cross multiply
    383,275.50x = 806,271 × 806,271
  4. Step 4: Simplify right side
    383,275.50x = 650,072,925,441
  5. Step 5: Solve for x
    x = 650,072,925,441/383,275.50
  6. Step 6: Final answer
    x = 1,696,098.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.