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Finding the Third Proportional to 397,516 and 594,700

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Solution

The third proportional to 397,516 and 594,700 is: 889,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,516 : 594,700 = 594,700 : x
  2. Step 2: Convert to fraction form
    397,516/594,700 = 594,700/x
  3. Step 3: Cross multiply
    397,516x = 594,700 × 594,700
  4. Step 4: Simplify right side
    397,516x = 353,668,090,000
  5. Step 5: Solve for x
    x = 353,668,090,000/397,516
  6. Step 6: Final answer
    x = 889,695.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.