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Finding the Third Proportional to 634,371 and 864,052

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Solution

The third proportional to 634,371 and 864,052 is: 1,176,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,371 : 864,052 = 864,052 : x
  2. Step 2: Convert to fraction form
    634,371/864,052 = 864,052/x
  3. Step 3: Cross multiply
    634,371x = 864,052 × 864,052
  4. Step 4: Simplify right side
    634,371x = 746,585,858,704
  5. Step 5: Solve for x
    x = 746,585,858,704/634,371
  6. Step 6: Final answer
    x = 1,176,891.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.