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Finding the Third Proportional to 235,201.50 and 458,577

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Solution

The third proportional to 235,201.50 and 458,577 is: 894,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,201.50 : 458,577 = 458,577 : x
  2. Step 2: Convert to fraction form
    235,201.50/458,577 = 458,577/x
  3. Step 3: Cross multiply
    235,201.50x = 458,577 × 458,577
  4. Step 4: Simplify right side
    235,201.50x = 210,292,864,929
  5. Step 5: Solve for x
    x = 210,292,864,929/235,201.50
  6. Step 6: Final answer
    x = 894,096.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.