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Finding the Third Proportional to 297,902.81 and 441,066.94

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Solution

The third proportional to 297,902.81 and 441,066.94 is: 653,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,902.81 : 441,066.94 = 441,066.94 : x
  2. Step 2: Convert to fraction form
    297,902.81/441,066.94 = 441,066.94/x
  3. Step 3: Cross multiply
    297,902.81x = 441,066.94 × 441,066.94
  4. Step 4: Simplify right side
    297,902.81x = 194,540,043,355.63
  5. Step 5: Solve for x
    x = 194,540,043,355.63/297,902.81
  6. Step 6: Final answer
    x = 653,031.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.