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Finding the Third Proportional to 246,416 and 534,272

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Solution

The third proportional to 246,416 and 534,272 is: 1,158,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,416 : 534,272 = 534,272 : x
  2. Step 2: Convert to fraction form
    246,416/534,272 = 534,272/x
  3. Step 3: Cross multiply
    246,416x = 534,272 × 534,272
  4. Step 4: Simplify right side
    246,416x = 285,446,569,984
  5. Step 5: Solve for x
    x = 285,446,569,984/246,416
  6. Step 6: Final answer
    x = 1,158,393.00

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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.