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Finding the Third Proportional to 246,556 and 524,886

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Solution

The third proportional to 246,556 and 524,886 is: 1,117,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,556 : 524,886 = 524,886 : x
  2. Step 2: Convert to fraction form
    246,556/524,886 = 524,886/x
  3. Step 3: Cross multiply
    246,556x = 524,886 × 524,886
  4. Step 4: Simplify right side
    246,556x = 275,505,312,996
  5. Step 5: Solve for x
    x = 275,505,312,996/246,556
  6. Step 6: Final answer
    x = 1,117,414.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.