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Finding the Third Proportional to 277,166 and 446,376

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Solution

The third proportional to 277,166 and 446,376 is: 718,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,166 : 446,376 = 446,376 : x
  2. Step 2: Convert to fraction form
    277,166/446,376 = 446,376/x
  3. Step 3: Cross multiply
    277,166x = 446,376 × 446,376
  4. Step 4: Simplify right side
    277,166x = 199,251,533,376
  5. Step 5: Solve for x
    x = 199,251,533,376/277,166
  6. Step 6: Final answer
    x = 718,888.80

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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.