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Finding the Third Proportional to 524,859.75 and 787,132.69

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Solution

The third proportional to 524,859.75 and 787,132.69 is: 1,180,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,859.75 : 787,132.69 = 787,132.69 : x
  2. Step 2: Convert to fraction form
    524,859.75/787,132.69 = 787,132.69/x
  3. Step 3: Cross multiply
    524,859.75x = 787,132.69 × 787,132.69
  4. Step 4: Simplify right side
    524,859.75x = 619,577,867,730.97
  5. Step 5: Solve for x
    x = 619,577,867,730.97/524,859.75
  6. Step 6: Final answer
    x = 1,180,463.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.