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Finding the Third Proportional to 297,399 and 460,656

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Solution

The third proportional to 297,399 and 460,656 is: 713,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,399 : 460,656 = 460,656 : x
  2. Step 2: Convert to fraction form
    297,399/460,656 = 460,656/x
  3. Step 3: Cross multiply
    297,399x = 460,656 × 460,656
  4. Step 4: Simplify right side
    297,399x = 212,203,950,336
  5. Step 5: Solve for x
    x = 212,203,950,336/297,399
  6. Step 6: Final answer
    x = 713,532.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.