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Finding the Third Proportional to 312,998 and 674,596

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Solution

The third proportional to 312,998 and 674,596 is: 1,453,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,998 : 674,596 = 674,596 : x
  2. Step 2: Convert to fraction form
    312,998/674,596 = 674,596/x
  3. Step 3: Cross multiply
    312,998x = 674,596 × 674,596
  4. Step 4: Simplify right side
    312,998x = 455,079,763,216
  5. Step 5: Solve for x
    x = 455,079,763,216/312,998
  6. Step 6: Final answer
    x = 1,453,938.25

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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.