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Finding the Third Proportional to 246,481.50 and 380,590.50

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Solution

The third proportional to 246,481.50 and 380,590.50 is: 587,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,481.50 : 380,590.50 = 380,590.50 : x
  2. Step 2: Convert to fraction form
    246,481.50/380,590.50 = 380,590.50/x
  3. Step 3: Cross multiply
    246,481.50x = 380,590.50 × 380,590.50
  4. Step 4: Simplify right side
    246,481.50x = 144,849,128,690.25
  5. Step 5: Solve for x
    x = 144,849,128,690.25/246,481.50
  6. Step 6: Final answer
    x = 587,667.34

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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.