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Finding the Third Proportional to 246,554 and 524,882

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Solution

The third proportional to 246,554 and 524,882 is: 1,117,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,554 : 524,882 = 524,882 : x
  2. Step 2: Convert to fraction form
    246,554/524,882 = 524,882/x
  3. Step 3: Cross multiply
    246,554x = 524,882 × 524,882
  4. Step 4: Simplify right side
    246,554x = 275,501,113,924
  5. Step 5: Solve for x
    x = 275,501,113,924/246,554
  6. Step 6: Final answer
    x = 1,117,406.79

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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.