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Finding the Third Proportional to 229,620 and 362,040

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Solution

The third proportional to 229,620 and 362,040 is: 570,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,620 : 362,040 = 362,040 : x
  2. Step 2: Convert to fraction form
    229,620/362,040 = 362,040/x
  3. Step 3: Cross multiply
    229,620x = 362,040 × 362,040
  4. Step 4: Simplify right side
    229,620x = 131,072,961,600
  5. Step 5: Solve for x
    x = 131,072,961,600/229,620
  6. Step 6: Final answer
    x = 570,825.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.