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Finding the Third Proportional to 246,942 and 545,292

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Solution

The third proportional to 246,942 and 545,292 is: 1,204,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,942 : 545,292 = 545,292 : x
  2. Step 2: Convert to fraction form
    246,942/545,292 = 545,292/x
  3. Step 3: Cross multiply
    246,942x = 545,292 × 545,292
  4. Step 4: Simplify right side
    246,942x = 297,343,365,264
  5. Step 5: Solve for x
    x = 297,343,365,264/246,942
  6. Step 6: Final answer
    x = 1,204,102.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.