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Finding the Third Proportional to 634,968 and 864,708

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Solution

The third proportional to 634,968 and 864,708 is: 1,177,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,968 : 864,708 = 864,708 : x
  2. Step 2: Convert to fraction form
    634,968/864,708 = 864,708/x
  3. Step 3: Cross multiply
    634,968x = 864,708 × 864,708
  4. Step 4: Simplify right side
    634,968x = 747,719,925,264
  5. Step 5: Solve for x
    x = 747,719,925,264/634,968
  6. Step 6: Final answer
    x = 1,177,571.04

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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.