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Finding the Third Proportional to 450,706 and 674,655

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Solution

The third proportional to 450,706 and 674,655 is: 1,009,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,706 : 674,655 = 674,655 : x
  2. Step 2: Convert to fraction form
    450,706/674,655 = 674,655/x
  3. Step 3: Cross multiply
    450,706x = 674,655 × 674,655
  4. Step 4: Simplify right side
    450,706x = 455,159,369,025
  5. Step 5: Solve for x
    x = 455,159,369,025/450,706
  6. Step 6: Final answer
    x = 1,009,880.87

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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.