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Finding the Third Proportional to 437,535 and 674,969

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Solution

The third proportional to 437,535 and 674,969 is: 1,041,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,535 : 674,969 = 674,969 : x
  2. Step 2: Convert to fraction form
    437,535/674,969 = 674,969/x
  3. Step 3: Cross multiply
    437,535x = 674,969 × 674,969
  4. Step 4: Simplify right side
    437,535x = 455,583,150,961
  5. Step 5: Solve for x
    x = 455,583,150,961/437,535
  6. Step 6: Final answer
    x = 1,041,249.62

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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.