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Finding the Third Proportional to 312,272 and 671,906

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Solution

The third proportional to 312,272 and 671,906 is: 1,445,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,272 : 671,906 = 671,906 : x
  2. Step 2: Convert to fraction form
    312,272/671,906 = 671,906/x
  3. Step 3: Cross multiply
    312,272x = 671,906 × 671,906
  4. Step 4: Simplify right side
    312,272x = 451,457,672,836
  5. Step 5: Solve for x
    x = 451,457,672,836/312,272
  6. Step 6: Final answer
    x = 1,445,719.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.