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Finding the Third Proportional to 403,344 and 847,968

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Solution

The third proportional to 403,344 and 847,968 is: 1,782,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,344 : 847,968 = 847,968 : x
  2. Step 2: Convert to fraction form
    403,344/847,968 = 847,968/x
  3. Step 3: Cross multiply
    403,344x = 847,968 × 847,968
  4. Step 4: Simplify right side
    403,344x = 719,049,729,024
  5. Step 5: Solve for x
    x = 719,049,729,024/403,344
  6. Step 6: Final answer
    x = 1,782,720.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.