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Finding the Third Proportional to 246,614 and 537,914

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Solution

The third proportional to 246,614 and 537,914 is: 1,173,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,614 : 537,914 = 537,914 : x
  2. Step 2: Convert to fraction form
    246,614/537,914 = 537,914/x
  3. Step 3: Cross multiply
    246,614x = 537,914 × 537,914
  4. Step 4: Simplify right side
    246,614x = 289,351,471,396
  5. Step 5: Solve for x
    x = 289,351,471,396/246,614
  6. Step 6: Final answer
    x = 1,173,297.02

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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.