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Finding the Third Proportional to 246,270.38 and 534,577.50

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Solution

The third proportional to 246,270.38 and 534,577.50 is: 1,160,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,270.38 : 534,577.50 = 534,577.50 : x
  2. Step 2: Convert to fraction form
    246,270.38/534,577.50 = 534,577.50/x
  3. Step 3: Cross multiply
    246,270.38x = 534,577.50 × 534,577.50
  4. Step 4: Simplify right side
    246,270.38x = 285,773,103,506.25
  5. Step 5: Solve for x
    x = 285,773,103,506.25/246,270.38
  6. Step 6: Final answer
    x = 1,160,403.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.