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Finding the Third Proportional to 246,146 and 537,849

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Solution

The third proportional to 246,146 and 537,849 is: 1,175,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,146 : 537,849 = 537,849 : x
  2. Step 2: Convert to fraction form
    246,146/537,849 = 537,849/x
  3. Step 3: Cross multiply
    246,146x = 537,849 × 537,849
  4. Step 4: Simplify right side
    246,146x = 289,281,546,801
  5. Step 5: Solve for x
    x = 289,281,546,801/246,146
  6. Step 6: Final answer
    x = 1,175,243.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.