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Finding the Third Proportional to 297,930 and 608,982

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Solution

The third proportional to 297,930 and 608,982 is: 1,244,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,930 : 608,982 = 608,982 : x
  2. Step 2: Convert to fraction form
    297,930/608,982 = 608,982/x
  3. Step 3: Cross multiply
    297,930x = 608,982 × 608,982
  4. Step 4: Simplify right side
    297,930x = 370,859,076,324
  5. Step 5: Solve for x
    x = 370,859,076,324/297,930
  6. Step 6: Final answer
    x = 1,244,785.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.