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Finding the Third Proportional to 246,564 and 530,581.50

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Solution

The third proportional to 246,564 and 530,581.50 is: 1,141,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,564 : 530,581.50 = 530,581.50 : x
  2. Step 2: Convert to fraction form
    246,564/530,581.50 = 530,581.50/x
  3. Step 3: Cross multiply
    246,564x = 530,581.50 × 530,581.50
  4. Step 4: Simplify right side
    246,564x = 281,516,728,142.25
  5. Step 5: Solve for x
    x = 281,516,728,142.25/246,564
  6. Step 6: Final answer
    x = 1,141,759.25

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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.