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Finding the Third Proportional to 246,708 and 512,808

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Solution

The third proportional to 246,708 and 512,808 is: 1,065,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,708 : 512,808 = 512,808 : x
  2. Step 2: Convert to fraction form
    246,708/512,808 = 512,808/x
  3. Step 3: Cross multiply
    246,708x = 512,808 × 512,808
  4. Step 4: Simplify right side
    246,708x = 262,972,044,864
  5. Step 5: Solve for x
    x = 262,972,044,864/246,708
  6. Step 6: Final answer
    x = 1,065,924.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.