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Finding the Third Proportional to 277,152 and 446,355

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Solution

The third proportional to 277,152 and 446,355 is: 718,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,152 : 446,355 = 446,355 : x
  2. Step 2: Convert to fraction form
    277,152/446,355 = 446,355/x
  3. Step 3: Cross multiply
    277,152x = 446,355 × 446,355
  4. Step 4: Simplify right side
    277,152x = 199,232,786,025
  5. Step 5: Solve for x
    x = 199,232,786,025/277,152
  6. Step 6: Final answer
    x = 718,857.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.