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Finding the Third Proportional to 225,632 and 490,136

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Solution

The third proportional to 225,632 and 490,136 is: 1,064,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,632 : 490,136 = 490,136 : x
  2. Step 2: Convert to fraction form
    225,632/490,136 = 490,136/x
  3. Step 3: Cross multiply
    225,632x = 490,136 × 490,136
  4. Step 4: Simplify right side
    225,632x = 240,233,298,496
  5. Step 5: Solve for x
    x = 240,233,298,496/225,632
  6. Step 6: Final answer
    x = 1,064,712.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.