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Finding the Third Proportional to 244,144 and 534,835

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Solution

The third proportional to 244,144 and 534,835 is: 1,171,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,144 : 534,835 = 534,835 : x
  2. Step 2: Convert to fraction form
    244,144/534,835 = 534,835/x
  3. Step 3: Cross multiply
    244,144x = 534,835 × 534,835
  4. Step 4: Simplify right side
    244,144x = 286,048,477,225
  5. Step 5: Solve for x
    x = 286,048,477,225/244,144
  6. Step 6: Final answer
    x = 1,171,638.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.