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Finding the Third Proportional to 262,354 and 573,956

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Solution

The third proportional to 262,354 and 573,956 is: 1,255,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,354 : 573,956 = 573,956 : x
  2. Step 2: Convert to fraction form
    262,354/573,956 = 573,956/x
  3. Step 3: Cross multiply
    262,354x = 573,956 × 573,956
  4. Step 4: Simplify right side
    262,354x = 329,425,489,936
  5. Step 5: Solve for x
    x = 329,425,489,936/262,354
  6. Step 6: Final answer
    x = 1,255,652.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.