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Finding the Third Proportional to 246,092 and 385,540

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Solution

The third proportional to 246,092 and 385,540 is: 604,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,092 : 385,540 = 385,540 : x
  2. Step 2: Convert to fraction form
    246,092/385,540 = 385,540/x
  3. Step 3: Cross multiply
    246,092x = 385,540 × 385,540
  4. Step 4: Simplify right side
    246,092x = 148,641,091,600
  5. Step 5: Solve for x
    x = 148,641,091,600/246,092
  6. Step 6: Final answer
    x = 604,006.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.