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Finding the Third Proportional to 243,774 and 389,277

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Solution

The third proportional to 243,774 and 389,277 is: 621,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,774 : 389,277 = 389,277 : x
  2. Step 2: Convert to fraction form
    243,774/389,277 = 389,277/x
  3. Step 3: Cross multiply
    243,774x = 389,277 × 389,277
  4. Step 4: Simplify right side
    243,774x = 151,536,582,729
  5. Step 5: Solve for x
    x = 151,536,582,729/243,774
  6. Step 6: Final answer
    x = 621,627.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.