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Finding the Third Proportional to 524,535.75 and 783,564.75

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Solution

The third proportional to 524,535.75 and 783,564.75 is: 1,170,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,535.75 : 783,564.75 = 783,564.75 : x
  2. Step 2: Convert to fraction form
    524,535.75/783,564.75 = 783,564.75/x
  3. Step 3: Cross multiply
    524,535.75x = 783,564.75 × 783,564.75
  4. Step 4: Simplify right side
    524,535.75x = 613,973,717,442.56
  5. Step 5: Solve for x
    x = 613,973,717,442.56/524,535.75
  6. Step 6: Final answer
    x = 1,170,508.81

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Why These Related Problems?

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