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Finding the Third Proportional to 312,237 and 676,971

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Solution

The third proportional to 312,237 and 676,971 is: 1,467,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,237 : 676,971 = 676,971 : x
  2. Step 2: Convert to fraction form
    312,237/676,971 = 676,971/x
  3. Step 3: Cross multiply
    312,237x = 676,971 × 676,971
  4. Step 4: Simplify right side
    312,237x = 458,289,734,841
  5. Step 5: Solve for x
    x = 458,289,734,841/312,237
  6. Step 6: Final answer
    x = 1,467,762.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.