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Finding the Third Proportional to 450,708 and 674,658

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Solution

The third proportional to 450,708 and 674,658 is: 1,009,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,708 : 674,658 = 674,658 : x
  2. Step 2: Convert to fraction form
    450,708/674,658 = 674,658/x
  3. Step 3: Cross multiply
    450,708x = 674,658 × 674,658
  4. Step 4: Simplify right side
    450,708x = 455,163,416,964
  5. Step 5: Solve for x
    x = 455,163,416,964/450,708
  6. Step 6: Final answer
    x = 1,009,885.37

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