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Finding the Third Proportional to 312,994 and 674,588

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Solution

The third proportional to 312,994 and 674,588 is: 1,453,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,994 : 674,588 = 674,588 : x
  2. Step 2: Convert to fraction form
    312,994/674,588 = 674,588/x
  3. Step 3: Cross multiply
    312,994x = 674,588 × 674,588
  4. Step 4: Simplify right side
    312,994x = 455,068,969,744
  5. Step 5: Solve for x
    x = 455,068,969,744/312,994
  6. Step 6: Final answer
    x = 1,453,922.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.