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Finding the Third Proportional to 277,224 and 604,182

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Solution

The third proportional to 277,224 and 604,182 is: 1,316,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,224 : 604,182 = 604,182 : x
  2. Step 2: Convert to fraction form
    277,224/604,182 = 604,182/x
  3. Step 3: Cross multiply
    277,224x = 604,182 × 604,182
  4. Step 4: Simplify right side
    277,224x = 365,035,889,124
  5. Step 5: Solve for x
    x = 365,035,889,124/277,224
  6. Step 6: Final answer
    x = 1,316,754.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.