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Finding the Third Proportional to 209,424 and 333,560

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Solution

The third proportional to 209,424 and 333,560 is: 531,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424 : 333,560 = 333,560 : x
  2. Step 2: Convert to fraction form
    209,424/333,560 = 333,560/x
  3. Step 3: Cross multiply
    209,424x = 333,560 × 333,560
  4. Step 4: Simplify right side
    209,424x = 111,262,273,600
  5. Step 5: Solve for x
    x = 111,262,273,600/209,424
  6. Step 6: Final answer
    x = 531,277.57

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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.