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Finding the Third Proportional to 522,954 and 736,418.25

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Solution

The third proportional to 522,954 and 736,418.25 is: 1,037,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,954 : 736,418.25 = 736,418.25 : x
  2. Step 2: Convert to fraction form
    522,954/736,418.25 = 736,418.25/x
  3. Step 3: Cross multiply
    522,954x = 736,418.25 × 736,418.25
  4. Step 4: Simplify right side
    522,954x = 542,311,838,933.06
  5. Step 5: Solve for x
    x = 542,311,838,933.06/522,954
  6. Step 6: Final answer
    x = 1,037,016.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.