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Finding the Third Proportional to 404,920 and 604,092

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Solution

The third proportional to 404,920 and 604,092 is: 901,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,920 : 604,092 = 604,092 : x
  2. Step 2: Convert to fraction form
    404,920/604,092 = 604,092/x
  3. Step 3: Cross multiply
    404,920x = 604,092 × 604,092
  4. Step 4: Simplify right side
    404,920x = 364,927,144,464
  5. Step 5: Solve for x
    x = 364,927,144,464/404,920
  6. Step 6: Final answer
    x = 901,232.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.