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Finding the Third Proportional to 552,889.13 and 834,406.31

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Solution

The third proportional to 552,889.13 and 834,406.31 is: 1,259,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,889.13 : 834,406.31 = 834,406.31 : x
  2. Step 2: Convert to fraction form
    552,889.13/834,406.31 = 834,406.31/x
  3. Step 3: Cross multiply
    552,889.13x = 834,406.31 × 834,406.31
  4. Step 4: Simplify right side
    552,889.13x = 696,233,894,339.85
  5. Step 5: Solve for x
    x = 696,233,894,339.85/552,889.13
  6. Step 6: Final answer
    x = 1,259,264.95

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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.