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Finding the Third Proportional to 296,187.50 and 446,899

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Solution

The third proportional to 296,187.50 and 446,899 is: 674,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,187.50 : 446,899 = 446,899 : x
  2. Step 2: Convert to fraction form
    296,187.50/446,899 = 446,899/x
  3. Step 3: Cross multiply
    296,187.50x = 446,899 × 446,899
  4. Step 4: Simplify right side
    296,187.50x = 199,718,716,201
  5. Step 5: Solve for x
    x = 199,718,716,201/296,187.50
  6. Step 6: Final answer
    x = 674,298.26

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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.