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Finding the Third Proportional to 297,368 and 444,753

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Solution

The third proportional to 297,368 and 444,753 is: 665,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,368 : 444,753 = 444,753 : x
  2. Step 2: Convert to fraction form
    297,368/444,753 = 444,753/x
  3. Step 3: Cross multiply
    297,368x = 444,753 × 444,753
  4. Step 4: Simplify right side
    297,368x = 197,805,231,009
  5. Step 5: Solve for x
    x = 197,805,231,009/297,368
  6. Step 6: Final answer
    x = 665,186.67

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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.