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Finding the Third Proportional to 296,190 and 446,904

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Solution

The third proportional to 296,190 and 446,904 is: 674,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,190 : 446,904 = 446,904 : x
  2. Step 2: Convert to fraction form
    296,190/446,904 = 446,904/x
  3. Step 3: Cross multiply
    296,190x = 446,904 × 446,904
  4. Step 4: Simplify right side
    296,190x = 199,723,185,216
  5. Step 5: Solve for x
    x = 199,723,185,216/296,190
  6. Step 6: Final answer
    x = 674,307.66

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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.