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Finding the Third Proportional to 434,024 and 950,800

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Solution

The third proportional to 434,024 and 950,800 is: 2,082,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,024 : 950,800 = 950,800 : x
  2. Step 2: Convert to fraction form
    434,024/950,800 = 950,800/x
  3. Step 3: Cross multiply
    434,024x = 950,800 × 950,800
  4. Step 4: Simplify right side
    434,024x = 904,020,640,000
  5. Step 5: Solve for x
    x = 904,020,640,000/434,024
  6. Step 6: Final answer
    x = 2,082,881.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.