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Finding the Third Proportional to 265,041 and 405,337.50

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Solution

The third proportional to 265,041 and 405,337.50 is: 619,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,041 : 405,337.50 = 405,337.50 : x
  2. Step 2: Convert to fraction form
    265,041/405,337.50 = 405,337.50/x
  3. Step 3: Cross multiply
    265,041x = 405,337.50 × 405,337.50
  4. Step 4: Simplify right side
    265,041x = 164,298,488,906.25
  5. Step 5: Solve for x
    x = 164,298,488,906.25/265,041
  6. Step 6: Final answer
    x = 619,898.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.