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Finding the Third Proportional to 344,820 and 531,766

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Solution

The third proportional to 344,820 and 531,766 is: 820,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,820 : 531,766 = 531,766 : x
  2. Step 2: Convert to fraction form
    344,820/531,766 = 531,766/x
  3. Step 3: Cross multiply
    344,820x = 531,766 × 531,766
  4. Step 4: Simplify right side
    344,820x = 282,775,078,756
  5. Step 5: Solve for x
    x = 282,775,078,756/344,820
  6. Step 6: Final answer
    x = 820,065.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.