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Finding the Third Proportional to 277,248 and 446,496

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Solution

The third proportional to 277,248 and 446,496 is: 719,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,248 : 446,496 = 446,496 : x
  2. Step 2: Convert to fraction form
    277,248/446,496 = 446,496/x
  3. Step 3: Cross multiply
    277,248x = 446,496 × 446,496
  4. Step 4: Simplify right side
    277,248x = 199,358,678,016
  5. Step 5: Solve for x
    x = 199,358,678,016/277,248
  6. Step 6: Final answer
    x = 719,062.64

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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.