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Finding the Third Proportional to 296,640 and 441,612

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Solution

The third proportional to 296,640 and 441,612 is: 657,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,640 : 441,612 = 441,612 : x
  2. Step 2: Convert to fraction form
    296,640/441,612 = 441,612/x
  3. Step 3: Cross multiply
    296,640x = 441,612 × 441,612
  4. Step 4: Simplify right side
    296,640x = 195,021,158,544
  5. Step 5: Solve for x
    x = 195,021,158,544/296,640
  6. Step 6: Final answer
    x = 657,433.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.