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Finding the Third Proportional to 246,027 and 532,857.50

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Solution

The third proportional to 246,027 and 532,857.50 is: 1,154,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,027 : 532,857.50 = 532,857.50 : x
  2. Step 2: Convert to fraction form
    246,027/532,857.50 = 532,857.50/x
  3. Step 3: Cross multiply
    246,027x = 532,857.50 × 532,857.50
  4. Step 4: Simplify right side
    246,027x = 283,937,115,306.25
  5. Step 5: Solve for x
    x = 283,937,115,306.25/246,027
  6. Step 6: Final answer
    x = 1,154,089.25

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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.