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Finding the Third Proportional to 445,034 and 688,667

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Solution

The third proportional to 445,034 and 688,667 is: 1,065,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,034 : 688,667 = 688,667 : x
  2. Step 2: Convert to fraction form
    445,034/688,667 = 688,667/x
  3. Step 3: Cross multiply
    445,034x = 688,667 × 688,667
  4. Step 4: Simplify right side
    445,034x = 474,262,236,889
  5. Step 5: Solve for x
    x = 474,262,236,889/445,034
  6. Step 6: Final answer
    x = 1,065,676.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.