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Finding the Third Proportional to 246,861 and 531,184.50

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Solution

The third proportional to 246,861 and 531,184.50 is: 1,142,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,861 : 531,184.50 = 531,184.50 : x
  2. Step 2: Convert to fraction form
    246,861/531,184.50 = 531,184.50/x
  3. Step 3: Cross multiply
    246,861x = 531,184.50 × 531,184.50
  4. Step 4: Simplify right side
    246,861x = 282,156,973,040.25
  5. Step 5: Solve for x
    x = 282,156,973,040.25/246,861
  6. Step 6: Final answer
    x = 1,142,979.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.