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Finding the Third Proportional to 209,524 and 324,363

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Solution

The third proportional to 209,524 and 324,363 is: 502,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,524 : 324,363 = 324,363 : x
  2. Step 2: Convert to fraction form
    209,524/324,363 = 324,363/x
  3. Step 3: Cross multiply
    209,524x = 324,363 × 324,363
  4. Step 4: Simplify right side
    209,524x = 105,211,355,769
  5. Step 5: Solve for x
    x = 105,211,355,769/209,524
  6. Step 6: Final answer
    x = 502,144.65

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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.