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Finding the Third Proportional to 634,042 and 863,565

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Solution

The third proportional to 634,042 and 863,565 is: 1,176,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,042 : 863,565 = 863,565 : x
  2. Step 2: Convert to fraction form
    634,042/863,565 = 863,565/x
  3. Step 3: Cross multiply
    634,042x = 863,565 × 863,565
  4. Step 4: Simplify right side
    634,042x = 745,744,509,225
  5. Step 5: Solve for x
    x = 745,744,509,225/634,042
  6. Step 6: Final answer
    x = 1,176,175.25

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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.