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Finding the Third Proportional to 332,984 and 529,620

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Solution

The third proportional to 332,984 and 529,620 is: 842,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,984 : 529,620 = 529,620 : x
  2. Step 2: Convert to fraction form
    332,984/529,620 = 529,620/x
  3. Step 3: Cross multiply
    332,984x = 529,620 × 529,620
  4. Step 4: Simplify right side
    332,984x = 280,497,344,400
  5. Step 5: Solve for x
    x = 280,497,344,400/332,984
  6. Step 6: Final answer
    x = 842,374.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.