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Finding the Third Proportional to 246,424 and 537,074

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Solution

The third proportional to 246,424 and 537,074 is: 1,170,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,424 : 537,074 = 537,074 : x
  2. Step 2: Convert to fraction form
    246,424/537,074 = 537,074/x
  3. Step 3: Cross multiply
    246,424x = 537,074 × 537,074
  4. Step 4: Simplify right side
    246,424x = 288,448,481,476
  5. Step 5: Solve for x
    x = 288,448,481,476/246,424
  6. Step 6: Final answer
    x = 1,170,537.29

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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.