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Finding the Third Proportional to 524,643.19 and 810,150.19

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Solution

The third proportional to 524,643.19 and 810,150.19 is: 1,251,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,643.19 : 810,150.19 = 810,150.19 : x
  2. Step 2: Convert to fraction form
    524,643.19/810,150.19 = 810,150.19/x
  3. Step 3: Cross multiply
    524,643.19x = 810,150.19 × 810,150.19
  4. Step 4: Simplify right side
    524,643.19x = 656,343,326,306.29
  5. Step 5: Solve for x
    x = 656,343,326,306.29/524,643.19
  6. Step 6: Final answer
    x = 1,251,028.02

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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.