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Finding the Third Proportional to 404,974 and 604,182

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Solution

The third proportional to 404,974 and 604,182 is: 901,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,974 : 604,182 = 604,182 : x
  2. Step 2: Convert to fraction form
    404,974/604,182 = 604,182/x
  3. Step 3: Cross multiply
    404,974x = 604,182 × 604,182
  4. Step 4: Simplify right side
    404,974x = 365,035,889,124
  5. Step 5: Solve for x
    x = 365,035,889,124/404,974
  6. Step 6: Final answer
    x = 901,381.05

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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.