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Finding the Third Proportional to 416,004 and 594,474

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Solution

The third proportional to 416,004 and 594,474 is: 849,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,004 : 594,474 = 594,474 : x
  2. Step 2: Convert to fraction form
    416,004/594,474 = 594,474/x
  3. Step 3: Cross multiply
    416,004x = 594,474 × 594,474
  4. Step 4: Simplify right side
    416,004x = 353,399,336,676
  5. Step 5: Solve for x
    x = 353,399,336,676/416,004
  6. Step 6: Final answer
    x = 849,509.47

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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.