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Finding the Third Proportional to 246,219.75 and 531,805.50

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Solution

The third proportional to 246,219.75 and 531,805.50 is: 1,148,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,219.75 : 531,805.50 = 531,805.50 : x
  2. Step 2: Convert to fraction form
    246,219.75/531,805.50 = 531,805.50/x
  3. Step 3: Cross multiply
    246,219.75x = 531,805.50 × 531,805.50
  4. Step 4: Simplify right side
    246,219.75x = 282,817,089,830.25
  5. Step 5: Solve for x
    x = 282,817,089,830.25/246,219.75
  6. Step 6: Final answer
    x = 1,148,636.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.