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Finding the Third Proportional to 437,473.41 and 674,865.42

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Solution

The third proportional to 437,473.41 and 674,865.42 is: 1,041,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,473.41 : 674,865.42 = 674,865.42 : x
  2. Step 2: Convert to fraction form
    437,473.41/674,865.42 = 674,865.42/x
  3. Step 3: Cross multiply
    437,473.41x = 674,865.42 × 674,865.42
  4. Step 4: Simplify right side
    437,473.41x = 455,443,337,642.52
  5. Step 5: Solve for x
    x = 455,443,337,642.52/437,473.41
  6. Step 6: Final answer
    x = 1,041,076.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.