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Finding the Third Proportional to 524,687.63 and 1,388,643.75

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Solution

The third proportional to 524,687.63 and 1,388,643.75 is: 3,675,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,687.63 : 1,388,643.75 = 1,388,643.75 : x
  2. Step 2: Convert to fraction form
    524,687.63/1,388,643.75 = 1,388,643.75/x
  3. Step 3: Cross multiply
    524,687.63x = 1,388,643.75 × 1,388,643.75
  4. Step 4: Simplify right side
    524,687.63x = 1,928,331,464,414.06
  5. Step 5: Solve for x
    x = 1,928,331,464,414.06/524,687.63
  6. Step 6: Final answer
    x = 3,675,199.06

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.