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Finding the Third Proportional to 437,314.50 and 674,647.50

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Solution

The third proportional to 437,314.50 and 674,647.50 is: 1,040,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,314.50 : 674,647.50 = 674,647.50 : x
  2. Step 2: Convert to fraction form
    437,314.50/674,647.50 = 674,647.50/x
  3. Step 3: Cross multiply
    437,314.50x = 674,647.50 × 674,647.50
  4. Step 4: Simplify right side
    437,314.50x = 455,149,249,256.25
  5. Step 5: Solve for x
    x = 455,149,249,256.25/437,314.50
  6. Step 6: Final answer
    x = 1,040,782.43

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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.