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Finding the Third Proportional to 240,957 and 524,814.75

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Solution

The third proportional to 240,957 and 524,814.75 is: 1,143,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,957 : 524,814.75 = 524,814.75 : x
  2. Step 2: Convert to fraction form
    240,957/524,814.75 = 524,814.75/x
  3. Step 3: Cross multiply
    240,957x = 524,814.75 × 524,814.75
  4. Step 4: Simplify right side
    240,957x = 275,430,521,817.56
  5. Step 5: Solve for x
    x = 275,430,521,817.56/240,957
  6. Step 6: Final answer
    x = 1,143,069.19

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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.