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Finding the Third Proportional to 301,143 and 654,774

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Solution

The third proportional to 301,143 and 654,774 is: 1,423,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,143 : 654,774 = 654,774 : x
  2. Step 2: Convert to fraction form
    301,143/654,774 = 654,774/x
  3. Step 3: Cross multiply
    301,143x = 654,774 × 654,774
  4. Step 4: Simplify right side
    301,143x = 428,728,991,076
  5. Step 5: Solve for x
    x = 428,728,991,076/301,143
  6. Step 6: Final answer
    x = 1,423,672.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.