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Finding the Third Proportional to 246,293.16 and 530,580.38

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Solution

The third proportional to 246,293.16 and 530,580.38 is: 1,143,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,293.16 : 530,580.38 = 530,580.38 : x
  2. Step 2: Convert to fraction form
    246,293.16/530,580.38 = 530,580.38/x
  3. Step 3: Cross multiply
    246,293.16x = 530,580.38 × 530,580.38
  4. Step 4: Simplify right side
    246,293.16x = 281,515,534,335.14
  5. Step 5: Solve for x
    x = 281,515,534,335.14/246,293.16
  6. Step 6: Final answer
    x = 1,143,009.97

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Why These Related Problems?

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