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Finding the Third Proportional to 246,674 and 534,820

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Solution

The third proportional to 246,674 and 534,820 is: 1,159,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,674 : 534,820 = 534,820 : x
  2. Step 2: Convert to fraction form
    246,674/534,820 = 534,820/x
  3. Step 3: Cross multiply
    246,674x = 534,820 × 534,820
  4. Step 4: Simplify right side
    246,674x = 286,032,432,400
  5. Step 5: Solve for x
    x = 286,032,432,400/246,674
  6. Step 6: Final answer
    x = 1,159,556.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.