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Finding the Third Proportional to 229,584 and 361,983

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Solution

The third proportional to 229,584 and 361,983 is: 570,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,584 : 361,983 = 361,983 : x
  2. Step 2: Convert to fraction form
    229,584/361,983 = 361,983/x
  3. Step 3: Cross multiply
    229,584x = 361,983 × 361,983
  4. Step 4: Simplify right side
    229,584x = 131,031,692,289
  5. Step 5: Solve for x
    x = 131,031,692,289/229,584
  6. Step 6: Final answer
    x = 570,735.30

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