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Finding the Third Proportional to 277,252 and 446,502

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Solution

The third proportional to 277,252 and 446,502 is: 719,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,252 : 446,502 = 446,502 : x
  2. Step 2: Convert to fraction form
    277,252/446,502 = 446,502/x
  3. Step 3: Cross multiply
    277,252x = 446,502 × 446,502
  4. Step 4: Simplify right side
    277,252x = 199,364,036,004
  5. Step 5: Solve for x
    x = 199,364,036,004/277,252
  6. Step 6: Final answer
    x = 719,071.59

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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.