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Finding the Third Proportional to 367,537.50 and 562,221

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Solution

The third proportional to 367,537.50 and 562,221 is: 860,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,537.50 : 562,221 = 562,221 : x
  2. Step 2: Convert to fraction form
    367,537.50/562,221 = 562,221/x
  3. Step 3: Cross multiply
    367,537.50x = 562,221 × 562,221
  4. Step 4: Simplify right side
    367,537.50x = 316,092,452,841
  5. Step 5: Solve for x
    x = 316,092,452,841/367,537.50
  6. Step 6: Final answer
    x = 860,027.76

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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.