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Finding the Third Proportional to 634,040 and 863,562

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Solution

The third proportional to 634,040 and 863,562 is: 1,176,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,040 : 863,562 = 863,562 : x
  2. Step 2: Convert to fraction form
    634,040/863,562 = 863,562/x
  3. Step 3: Cross multiply
    634,040x = 863,562 × 863,562
  4. Step 4: Simplify right side
    634,040x = 745,739,327,844
  5. Step 5: Solve for x
    x = 745,739,327,844/634,040
  6. Step 6: Final answer
    x = 1,176,170.79

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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.