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Finding the Third Proportional to 446,410 and 670,632

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Solution

The third proportional to 446,410 and 670,632 is: 1,007,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,410 : 670,632 = 670,632 : x
  2. Step 2: Convert to fraction form
    446,410/670,632 = 670,632/x
  3. Step 3: Cross multiply
    446,410x = 670,632 × 670,632
  4. Step 4: Simplify right side
    446,410x = 449,747,279,424
  5. Step 5: Solve for x
    x = 449,747,279,424/446,410
  6. Step 6: Final answer
    x = 1,007,475.82

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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.