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Finding the Third Proportional to 397,440 and 594,648

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Solution

The third proportional to 397,440 and 594,648 is: 889,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,440 : 594,648 = 594,648 : x
  2. Step 2: Convert to fraction form
    397,440/594,648 = 594,648/x
  3. Step 3: Cross multiply
    397,440x = 594,648 × 594,648
  4. Step 4: Simplify right side
    397,440x = 353,606,243,904
  5. Step 5: Solve for x
    x = 353,606,243,904/397,440
  6. Step 6: Final answer
    x = 889,709.75

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Why These Related Problems?

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