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Finding the Third Proportional to 246,854 and 536,908

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Solution

The third proportional to 246,854 and 536,908 is: 1,167,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,854 : 536,908 = 536,908 : x
  2. Step 2: Convert to fraction form
    246,854/536,908 = 536,908/x
  3. Step 3: Cross multiply
    246,854x = 536,908 × 536,908
  4. Step 4: Simplify right side
    246,854x = 288,270,200,464
  5. Step 5: Solve for x
    x = 288,270,200,464/246,854
  6. Step 6: Final answer
    x = 1,167,776.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.