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Finding the Third Proportional to 274,383.07 and 431,026.95

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Solution

The third proportional to 274,383.07 and 431,026.95 is: 677,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,383.07 : 431,026.95 = 431,026.95 : x
  2. Step 2: Convert to fraction form
    274,383.07/431,026.95 = 431,026.95/x
  3. Step 3: Cross multiply
    274,383.07x = 431,026.95 × 431,026.95
  4. Step 4: Simplify right side
    274,383.07x = 185,784,227,585.43
  5. Step 5: Solve for x
    x = 185,784,227,585.43/274,383.07
  6. Step 6: Final answer
    x = 677,098.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.