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Finding the Third Proportional to 301,826.25 and 408,452.63

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Solution

The third proportional to 301,826.25 and 408,452.63 is: 552,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,826.25 : 408,452.63 = 408,452.63 : x
  2. Step 2: Convert to fraction form
    301,826.25/408,452.63 = 408,452.63/x
  3. Step 3: Cross multiply
    301,826.25x = 408,452.63 × 408,452.63
  4. Step 4: Simplify right side
    301,826.25x = 166,833,546,869.39
  5. Step 5: Solve for x
    x = 166,833,546,869.39/301,826.25
  6. Step 6: Final answer
    x = 552,746.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.