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Finding the Third Proportional to 634,282 and 863,943

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Solution

The third proportional to 634,282 and 863,943 is: 1,176,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,282 : 863,943 = 863,943 : x
  2. Step 2: Convert to fraction form
    634,282/863,943 = 863,943/x
  3. Step 3: Cross multiply
    634,282x = 863,943 × 863,943
  4. Step 4: Simplify right side
    634,282x = 746,397,507,249
  5. Step 5: Solve for x
    x = 746,397,507,249/634,282
  6. Step 6: Final answer
    x = 1,176,759.72

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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.