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Finding the Third Proportional to 525,831.75 and 787,856.63

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Solution

The third proportional to 525,831.75 and 787,856.63 is: 1,180,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,831.75 : 787,856.63 = 787,856.63 : x
  2. Step 2: Convert to fraction form
    525,831.75/787,856.63 = 787,856.63/x
  3. Step 3: Cross multiply
    525,831.75x = 787,856.63 × 787,856.63
  4. Step 4: Simplify right side
    525,831.75x = 620,718,061,556.39
  5. Step 5: Solve for x
    x = 620,718,061,556.39/525,831.75
  6. Step 6: Final answer
    x = 1,180,449.95

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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.