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Finding the Third Proportional to 275,215.50 and 407,714.25

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Solution

The third proportional to 275,215.50 and 407,714.25 is: 604,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,215.50 : 407,714.25 = 407,714.25 : x
  2. Step 2: Convert to fraction form
    275,215.50/407,714.25 = 407,714.25/x
  3. Step 3: Cross multiply
    275,215.50x = 407,714.25 × 407,714.25
  4. Step 4: Simplify right side
    275,215.50x = 166,230,909,653.06
  5. Step 5: Solve for x
    x = 166,230,909,653.06/275,215.50
  6. Step 6: Final answer
    x = 604,002.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.