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Finding the Third Proportional to 450,837 and 674,842.50

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Solution

The third proportional to 450,837 and 674,842.50 is: 1,010,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,837 : 674,842.50 = 674,842.50 : x
  2. Step 2: Convert to fraction form
    450,837/674,842.50 = 674,842.50/x
  3. Step 3: Cross multiply
    450,837x = 674,842.50 × 674,842.50
  4. Step 4: Simplify right side
    450,837x = 455,412,399,806.25
  5. Step 5: Solve for x
    x = 455,412,399,806.25/450,837
  6. Step 6: Final answer
    x = 1,010,148.68

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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.