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Finding the Third Proportional to 446,520 and 670,785

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Solution

The third proportional to 446,520 and 670,785 is: 1,007,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,520 : 670,785 = 670,785 : x
  2. Step 2: Convert to fraction form
    446,520/670,785 = 670,785/x
  3. Step 3: Cross multiply
    446,520x = 670,785 × 670,785
  4. Step 4: Simplify right side
    446,520x = 449,952,516,225
  5. Step 5: Solve for x
    x = 449,952,516,225/446,520
  6. Step 6: Final answer
    x = 1,007,687.26

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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.