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Finding the Third Proportional to 416,319 and 594,900

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Solution

The third proportional to 416,319 and 594,900 is: 850,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319 : 594,900 = 594,900 : x
  2. Step 2: Convert to fraction form
    416,319/594,900 = 594,900/x
  3. Step 3: Cross multiply
    416,319x = 594,900 × 594,900
  4. Step 4: Simplify right side
    416,319x = 353,906,010,000
  5. Step 5: Solve for x
    x = 353,906,010,000/416,319
  6. Step 6: Final answer
    x = 850,083.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.