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Finding the Third Proportional to 277,158 and 446,364

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Solution

The third proportional to 277,158 and 446,364 is: 718,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,158 : 446,364 = 446,364 : x
  2. Step 2: Convert to fraction form
    277,158/446,364 = 446,364/x
  3. Step 3: Cross multiply
    277,158x = 446,364 × 446,364
  4. Step 4: Simplify right side
    277,158x = 199,240,820,496
  5. Step 5: Solve for x
    x = 199,240,820,496/277,158
  6. Step 6: Final answer
    x = 718,870.90

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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.