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Finding the Third Proportional to 437,534.25 and 674,968.50

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Solution

The third proportional to 437,534.25 and 674,968.50 is: 1,041,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,534.25 : 674,968.50 = 674,968.50 : x
  2. Step 2: Convert to fraction form
    437,534.25/674,968.50 = 674,968.50/x
  3. Step 3: Cross multiply
    437,534.25x = 674,968.50 × 674,968.50
  4. Step 4: Simplify right side
    437,534.25x = 455,582,475,992.25
  5. Step 5: Solve for x
    x = 455,582,475,992.25/437,534.25
  6. Step 6: Final answer
    x = 1,041,249.86

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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.