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Finding the Third Proportional to 265,855.50 and 408,638.50

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Solution

The third proportional to 265,855.50 and 408,638.50 is: 628,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,855.50 : 408,638.50 = 408,638.50 : x
  2. Step 2: Convert to fraction form
    265,855.50/408,638.50 = 408,638.50/x
  3. Step 3: Cross multiply
    265,855.50x = 408,638.50 × 408,638.50
  4. Step 4: Simplify right side
    265,855.50x = 166,985,423,682.25
  5. Step 5: Solve for x
    x = 166,985,423,682.25/265,855.50
  6. Step 6: Final answer
    x = 628,105.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.