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Finding the Third Proportional to 312,150 and 671,644

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Solution

The third proportional to 312,150 and 671,644 is: 1,445,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,150 : 671,644 = 671,644 : x
  2. Step 2: Convert to fraction form
    312,150/671,644 = 671,644/x
  3. Step 3: Cross multiply
    312,150x = 671,644 × 671,644
  4. Step 4: Simplify right side
    312,150x = 451,105,662,736
  5. Step 5: Solve for x
    x = 451,105,662,736/312,150
  6. Step 6: Final answer
    x = 1,445,156.70

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