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Finding the Third Proportional to 275,309 and 416,774

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Solution

The third proportional to 275,309 and 416,774 is: 630,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,309 : 416,774 = 416,774 : x
  2. Step 2: Convert to fraction form
    275,309/416,774 = 416,774/x
  3. Step 3: Cross multiply
    275,309x = 416,774 × 416,774
  4. Step 4: Simplify right side
    275,309x = 173,700,567,076
  5. Step 5: Solve for x
    x = 173,700,567,076/275,309
  6. Step 6: Final answer
    x = 630,929.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.