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Finding the Third Proportional to 450,943.50 and 674,226

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Solution

The third proportional to 450,943.50 and 674,226 is: 1,008,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,943.50 : 674,226 = 674,226 : x
  2. Step 2: Convert to fraction form
    450,943.50/674,226 = 674,226/x
  3. Step 3: Cross multiply
    450,943.50x = 674,226 × 674,226
  4. Step 4: Simplify right side
    450,943.50x = 454,580,699,076
  5. Step 5: Solve for x
    x = 454,580,699,076/450,943.50
  6. Step 6: Final answer
    x = 1,008,065.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.