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Finding the Third Proportional to 296,209.41 and 446,922.56

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Solution

The third proportional to 296,209.41 and 446,922.56 is: 674,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,209.41 : 446,922.56 = 446,922.56 : x
  2. Step 2: Convert to fraction form
    296,209.41/446,922.56 = 446,922.56/x
  3. Step 3: Cross multiply
    296,209.41x = 446,922.56 × 446,922.56
  4. Step 4: Simplify right side
    296,209.41x = 199,739,776,871.57
  5. Step 5: Solve for x
    x = 199,739,776,871.57/296,209.41
  6. Step 6: Final answer
    x = 674,319.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.