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Finding the Third Proportional to 302,439 and 446,761.50

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Solution

The third proportional to 302,439 and 446,761.50 is: 659,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,439 : 446,761.50 = 446,761.50 : x
  2. Step 2: Convert to fraction form
    302,439/446,761.50 = 446,761.50/x
  3. Step 3: Cross multiply
    302,439x = 446,761.50 × 446,761.50
  4. Step 4: Simplify right side
    302,439x = 199,595,837,882.25
  5. Step 5: Solve for x
    x = 199,595,837,882.25/302,439
  6. Step 6: Final answer
    x = 659,954.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.