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Finding the Third Proportional to 450,710 and 674,661

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Solution

The third proportional to 450,710 and 674,661 is: 1,009,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,710 : 674,661 = 674,661 : x
  2. Step 2: Convert to fraction form
    450,710/674,661 = 674,661/x
  3. Step 3: Cross multiply
    450,710x = 674,661 × 674,661
  4. Step 4: Simplify right side
    450,710x = 455,167,464,921
  5. Step 5: Solve for x
    x = 455,167,464,921/450,710
  6. Step 6: Final answer
    x = 1,009,889.87

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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.