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Finding the Third Proportional to 296,097.19 and 422,002.41

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Solution

The third proportional to 296,097.19 and 422,002.41 is: 601,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,097.19 : 422,002.41 = 422,002.41 : x
  2. Step 2: Convert to fraction form
    296,097.19/422,002.41 = 422,002.41/x
  3. Step 3: Cross multiply
    296,097.19x = 422,002.41 × 422,002.41
  4. Step 4: Simplify right side
    296,097.19x = 178,086,030,880.79
  5. Step 5: Solve for x
    x = 178,086,030,880.79/296,097.19
  6. Step 6: Final answer
    x = 601,444.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.