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Finding the Third Proportional to 446,419.13 and 670,645.13

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Solution

The third proportional to 446,419.13 and 670,645.13 is: 1,007,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,419.13 : 670,645.13 = 670,645.13 : x
  2. Step 2: Convert to fraction form
    446,419.13/670,645.13 = 670,645.13/x
  3. Step 3: Cross multiply
    446,419.13x = 670,645.13 × 670,645.13
  4. Step 4: Simplify right side
    446,419.13x = 449,764,883,686.27
  5. Step 5: Solve for x
    x = 449,764,883,686.27/446,419.13
  6. Step 6: Final answer
    x = 1,007,494.66

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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.