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Finding the Third Proportional to 310,204.69 and 648,825.19

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Solution

The third proportional to 310,204.69 and 648,825.19 is: 1,357,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,204.69 : 648,825.19 = 648,825.19 : x
  2. Step 2: Convert to fraction form
    310,204.69/648,825.19 = 648,825.19/x
  3. Step 3: Cross multiply
    310,204.69x = 648,825.19 × 648,825.19
  4. Step 4: Simplify right side
    310,204.69x = 420,974,123,934.41
  5. Step 5: Solve for x
    x = 420,974,123,934.41/310,204.69
  6. Step 6: Final answer
    x = 1,357,084.99

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.