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Finding the Third Proportional to 246,354.75 and 534,537

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Solution

The third proportional to 246,354.75 and 534,537 is: 1,159,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,354.75 : 534,537 = 534,537 : x
  2. Step 2: Convert to fraction form
    246,354.75/534,537 = 534,537/x
  3. Step 3: Cross multiply
    246,354.75x = 534,537 × 534,537
  4. Step 4: Simplify right side
    246,354.75x = 285,729,804,369
  5. Step 5: Solve for x
    x = 285,729,804,369/246,354.75
  6. Step 6: Final answer
    x = 1,159,830.71

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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.