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Finding the Third Proportional to 240,628 and 524,024

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Solution

The third proportional to 240,628 and 524,024 is: 1,141,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,628 : 524,024 = 524,024 : x
  2. Step 2: Convert to fraction form
    240,628/524,024 = 524,024/x
  3. Step 3: Cross multiply
    240,628x = 524,024 × 524,024
  4. Step 4: Simplify right side
    240,628x = 274,601,152,576
  5. Step 5: Solve for x
    x = 274,601,152,576/240,628
  6. Step 6: Final answer
    x = 1,141,185.37

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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.