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Finding the Third Proportional to 450,774 and 674,748

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Solution

The third proportional to 450,774 and 674,748 is: 1,010,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,774 : 674,748 = 674,748 : x
  2. Step 2: Convert to fraction form
    450,774/674,748 = 674,748/x
  3. Step 3: Cross multiply
    450,774x = 674,748 × 674,748
  4. Step 4: Simplify right side
    450,774x = 455,284,863,504
  5. Step 5: Solve for x
    x = 455,284,863,504/450,774
  6. Step 6: Final answer
    x = 1,010,006.93

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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.