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Finding the Third Proportional to 246,700 and 531,466

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Solution

The third proportional to 246,700 and 531,466 is: 1,144,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,700 : 531,466 = 531,466 : x
  2. Step 2: Convert to fraction form
    246,700/531,466 = 531,466/x
  3. Step 3: Cross multiply
    246,700x = 531,466 × 531,466
  4. Step 4: Simplify right side
    246,700x = 282,456,109,156
  5. Step 5: Solve for x
    x = 282,456,109,156/246,700
  6. Step 6: Final answer
    x = 1,144,937.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.