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Finding the Third Proportional to 552,831.75 and 833,144.06

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Solution

The third proportional to 552,831.75 and 833,144.06 is: 1,255,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,831.75 : 833,144.06 = 833,144.06 : x
  2. Step 2: Convert to fraction form
    552,831.75/833,144.06 = 833,144.06/x
  3. Step 3: Cross multiply
    552,831.75x = 833,144.06 × 833,144.06
  4. Step 4: Simplify right side
    552,831.75x = 694,129,028,879.00
  5. Step 5: Solve for x
    x = 694,129,028,879.00/552,831.75
  6. Step 6: Final answer
    x = 1,255,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.