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Finding the Third Proportional to 294,336 and 441,503

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Solution

The third proportional to 294,336 and 441,503 is: 662,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,336 : 441,503 = 441,503 : x
  2. Step 2: Convert to fraction form
    294,336/441,503 = 441,503/x
  3. Step 3: Cross multiply
    294,336x = 441,503 × 441,503
  4. Step 4: Simplify right side
    294,336x = 194,924,899,009
  5. Step 5: Solve for x
    x = 194,924,899,009/294,336
  6. Step 6: Final answer
    x = 662,253.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.