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Finding the Third Proportional to 363,548 and 849,092

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Solution

The third proportional to 363,548 and 849,092 is: 1,983,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,548 : 849,092 = 849,092 : x
  2. Step 2: Convert to fraction form
    363,548/849,092 = 849,092/x
  3. Step 3: Cross multiply
    363,548x = 849,092 × 849,092
  4. Step 4: Simplify right side
    363,548x = 720,957,224,464
  5. Step 5: Solve for x
    x = 720,957,224,464/363,548
  6. Step 6: Final answer
    x = 1,983,114.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.