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Finding the Third Proportional to 520,016.63 and 798,948.56

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Solution

The third proportional to 520,016.63 and 798,948.56 is: 1,227,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016.63 : 798,948.56 = 798,948.56 : x
  2. Step 2: Convert to fraction form
    520,016.63/798,948.56 = 798,948.56/x
  3. Step 3: Cross multiply
    520,016.63x = 798,948.56 × 798,948.56
  4. Step 4: Simplify right side
    520,016.63x = 638,318,805,520.82
  5. Step 5: Solve for x
    x = 638,318,805,520.82/520,016.63
  6. Step 6: Final answer
    x = 1,227,496.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.