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Finding the Third Proportional to 246,306 and 531,906

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Solution

The third proportional to 246,306 and 531,906 is: 1,148,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,306 : 531,906 = 531,906 : x
  2. Step 2: Convert to fraction form
    246,306/531,906 = 531,906/x
  3. Step 3: Cross multiply
    246,306x = 531,906 × 531,906
  4. Step 4: Simplify right side
    246,306x = 282,923,992,836
  5. Step 5: Solve for x
    x = 282,923,992,836/246,306
  6. Step 6: Final answer
    x = 1,148,668.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.