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Finding the Third Proportional to 524,782.13 and 835,439.06

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Solution

The third proportional to 524,782.13 and 835,439.06 is: 1,329,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,782.13 : 835,439.06 = 835,439.06 : x
  2. Step 2: Convert to fraction form
    524,782.13/835,439.06 = 835,439.06/x
  3. Step 3: Cross multiply
    524,782.13x = 835,439.06 × 835,439.06
  4. Step 4: Simplify right side
    524,782.13x = 697,958,427,150.88
  5. Step 5: Solve for x
    x = 697,958,427,150.88/524,782.13
  6. Step 6: Final answer
    x = 1,329,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.