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Finding the Third Proportional to 299,436.75 and 645,711.75

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Solution

The third proportional to 299,436.75 and 645,711.75 is: 1,392,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.75 : 645,711.75 = 645,711.75 : x
  2. Step 2: Convert to fraction form
    299,436.75/645,711.75 = 645,711.75/x
  3. Step 3: Cross multiply
    299,436.75x = 645,711.75 × 645,711.75
  4. Step 4: Simplify right side
    299,436.75x = 416,943,664,088.06
  5. Step 5: Solve for x
    x = 416,943,664,088.06/299,436.75
  6. Step 6: Final answer
    x = 1,392,426.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.