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Finding the Third Proportional to 240,868 and 524,634

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Solution

The third proportional to 240,868 and 524,634 is: 1,142,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,868 : 524,634 = 524,634 : x
  2. Step 2: Convert to fraction form
    240,868/524,634 = 524,634/x
  3. Step 3: Cross multiply
    240,868x = 524,634 × 524,634
  4. Step 4: Simplify right side
    240,868x = 275,240,833,956
  5. Step 5: Solve for x
    x = 275,240,833,956/240,868
  6. Step 6: Final answer
    x = 1,142,704.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.