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Finding the Third Proportional to 294,426.75 and 431,490.75

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Solution

The third proportional to 294,426.75 and 431,490.75 is: 632,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,426.75 : 431,490.75 = 431,490.75 : x
  2. Step 2: Convert to fraction form
    294,426.75/431,490.75 = 431,490.75/x
  3. Step 3: Cross multiply
    294,426.75x = 431,490.75 × 431,490.75
  4. Step 4: Simplify right side
    294,426.75x = 186,184,267,335.56
  5. Step 5: Solve for x
    x = 186,184,267,335.56/294,426.75
  6. Step 6: Final answer
    x = 632,361.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.