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Finding the Third Proportional to 492,016.78 and 803,419.17

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Solution

The third proportional to 492,016.78 and 803,419.17 is: 1,311,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,016.78 : 803,419.17 = 803,419.17 : x
  2. Step 2: Convert to fraction form
    492,016.78/803,419.17 = 803,419.17/x
  3. Step 3: Cross multiply
    492,016.78x = 803,419.17 × 803,419.17
  4. Step 4: Simplify right side
    492,016.78x = 645,482,365,736.31
  5. Step 5: Solve for x
    x = 645,482,365,736.31/492,016.78
  6. Step 6: Final answer
    x = 1,311,911.28

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.