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Finding the Third Proportional to 450,830 and 674,832

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Solution

The third proportional to 450,830 and 674,832 is: 1,010,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,830 : 674,832 = 674,832 : x
  2. Step 2: Convert to fraction form
    450,830/674,832 = 674,832/x
  3. Step 3: Cross multiply
    450,830x = 674,832 × 674,832
  4. Step 4: Simplify right side
    450,830x = 455,398,228,224
  5. Step 5: Solve for x
    x = 455,398,228,224/450,830
  6. Step 6: Final answer
    x = 1,010,132.93

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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.