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Finding the Third Proportional to 297,084 and 445,554

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Solution

The third proportional to 297,084 and 445,554 is: 668,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,084 : 445,554 = 445,554 : x
  2. Step 2: Convert to fraction form
    297,084/445,554 = 445,554/x
  3. Step 3: Cross multiply
    297,084x = 445,554 × 445,554
  4. Step 4: Simplify right side
    297,084x = 198,518,366,916
  5. Step 5: Solve for x
    x = 198,518,366,916/297,084
  6. Step 6: Final answer
    x = 668,223.02

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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.