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Finding the Third Proportional to 277,097 and 446,246

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Solution

The third proportional to 277,097 and 446,246 is: 718,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,097 : 446,246 = 446,246 : x
  2. Step 2: Convert to fraction form
    277,097/446,246 = 446,246/x
  3. Step 3: Cross multiply
    277,097x = 446,246 × 446,246
  4. Step 4: Simplify right side
    277,097x = 199,135,492,516
  5. Step 5: Solve for x
    x = 199,135,492,516/277,097
  6. Step 6: Final answer
    x = 718,649.04

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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.