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Finding the Third Proportional to 262,362 and 556,252

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Solution

The third proportional to 262,362 and 556,252 is: 1,179,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,362 : 556,252 = 556,252 : x
  2. Step 2: Convert to fraction form
    262,362/556,252 = 556,252/x
  3. Step 3: Cross multiply
    262,362x = 556,252 × 556,252
  4. Step 4: Simplify right side
    262,362x = 309,416,287,504
  5. Step 5: Solve for x
    x = 309,416,287,504/262,362
  6. Step 6: Final answer
    x = 1,179,348.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.