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Finding the Third Proportional to 228,588 and 362,257.50

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Solution

The third proportional to 228,588 and 362,257.50 is: 574,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,588 : 362,257.50 = 362,257.50 : x
  2. Step 2: Convert to fraction form
    228,588/362,257.50 = 362,257.50/x
  3. Step 3: Cross multiply
    228,588x = 362,257.50 × 362,257.50
  4. Step 4: Simplify right side
    228,588x = 131,230,496,306.25
  5. Step 5: Solve for x
    x = 131,230,496,306.25/228,588
  6. Step 6: Final answer
    x = 574,091.80

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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.