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Finding the Third Proportional to 246,948.75 and 505,561.50

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Solution

The third proportional to 246,948.75 and 505,561.50 is: 1,035,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,948.75 : 505,561.50 = 505,561.50 : x
  2. Step 2: Convert to fraction form
    246,948.75/505,561.50 = 505,561.50/x
  3. Step 3: Cross multiply
    246,948.75x = 505,561.50 × 505,561.50
  4. Step 4: Simplify right side
    246,948.75x = 255,592,430,282.25
  5. Step 5: Solve for x
    x = 255,592,430,282.25/246,948.75
  6. Step 6: Final answer
    x = 1,035,001.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.