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Finding the Third Proportional to 382,207 and 573,247

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Solution

The third proportional to 382,207 and 573,247 is: 859,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,207 : 573,247 = 573,247 : x
  2. Step 2: Convert to fraction form
    382,207/573,247 = 573,247/x
  3. Step 3: Cross multiply
    382,207x = 573,247 × 573,247
  4. Step 4: Simplify right side
    382,207x = 328,612,123,009
  5. Step 5: Solve for x
    x = 328,612,123,009/382,207
  6. Step 6: Final answer
    x = 859,775.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.