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Finding the Third Proportional to 519,842.25 and 772,139.25

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Solution

The third proportional to 519,842.25 and 772,139.25 is: 1,146,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,842.25 : 772,139.25 = 772,139.25 : x
  2. Step 2: Convert to fraction form
    519,842.25/772,139.25 = 772,139.25/x
  3. Step 3: Cross multiply
    519,842.25x = 772,139.25 × 772,139.25
  4. Step 4: Simplify right side
    519,842.25x = 596,199,021,390.56
  5. Step 5: Solve for x
    x = 596,199,021,390.56/519,842.25
  6. Step 6: Final answer
    x = 1,146,884.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.