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Finding the Third Proportional to 416,294 and 594,873

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Solution

The third proportional to 416,294 and 594,873 is: 850,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,294 : 594,873 = 594,873 : x
  2. Step 2: Convert to fraction form
    416,294/594,873 = 594,873/x
  3. Step 3: Cross multiply
    416,294x = 594,873 × 594,873
  4. Step 4: Simplify right side
    416,294x = 353,873,886,129
  5. Step 5: Solve for x
    x = 353,873,886,129/416,294
  6. Step 6: Final answer
    x = 850,057.62

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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.