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Finding the Third Proportional to 246,134 and 536,560

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Solution

The third proportional to 246,134 and 536,560 is: 1,169,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,134 : 536,560 = 536,560 : x
  2. Step 2: Convert to fraction form
    246,134/536,560 = 536,560/x
  3. Step 3: Cross multiply
    246,134x = 536,560 × 536,560
  4. Step 4: Simplify right side
    246,134x = 287,896,633,600
  5. Step 5: Solve for x
    x = 287,896,633,600/246,134
  6. Step 6: Final answer
    x = 1,169,674.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.