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Finding the Third Proportional to 320,211 and 502,290

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Solution

The third proportional to 320,211 and 502,290 is: 787,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,211 : 502,290 = 502,290 : x
  2. Step 2: Convert to fraction form
    320,211/502,290 = 502,290/x
  3. Step 3: Cross multiply
    320,211x = 502,290 × 502,290
  4. Step 4: Simplify right side
    320,211x = 252,295,244,100
  5. Step 5: Solve for x
    x = 252,295,244,100/320,211
  6. Step 6: Final answer
    x = 787,903.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.