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Finding the Third Proportional to 275,307 and 416,770.50

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Solution

The third proportional to 275,307 and 416,770.50 is: 630,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,307 : 416,770.50 = 416,770.50 : x
  2. Step 2: Convert to fraction form
    275,307/416,770.50 = 416,770.50/x
  3. Step 3: Cross multiply
    275,307x = 416,770.50 × 416,770.50
  4. Step 4: Simplify right side
    275,307x = 173,697,649,670.25
  5. Step 5: Solve for x
    x = 173,697,649,670.25/275,307
  6. Step 6: Final answer
    x = 630,923.48

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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.