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Finding the Third Proportional to 516,097 and 797,159.50

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Solution

The third proportional to 516,097 and 797,159.50 is: 1,231,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,097 : 797,159.50 = 797,159.50 : x
  2. Step 2: Convert to fraction form
    516,097/797,159.50 = 797,159.50/x
  3. Step 3: Cross multiply
    516,097x = 797,159.50 × 797,159.50
  4. Step 4: Simplify right side
    516,097x = 635,463,268,440.25
  5. Step 5: Solve for x
    x = 635,463,268,440.25/516,097
  6. Step 6: Final answer
    x = 1,231,286.50

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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.