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Finding the Third Proportional to 508,422 and 674,743.50

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Solution

The third proportional to 508,422 and 674,743.50 is: 895,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,422 : 674,743.50 = 674,743.50 : x
  2. Step 2: Convert to fraction form
    508,422/674,743.50 = 674,743.50/x
  3. Step 3: Cross multiply
    508,422x = 674,743.50 × 674,743.50
  4. Step 4: Simplify right side
    508,422x = 455,278,790,792.25
  5. Step 5: Solve for x
    x = 455,278,790,792.25/508,422
  6. Step 6: Final answer
    x = 895,474.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.