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Finding the Third Proportional to 306,058.50 and 465,861.75

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Solution

The third proportional to 306,058.50 and 465,861.75 is: 709,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058.50 : 465,861.75 = 465,861.75 : x
  2. Step 2: Convert to fraction form
    306,058.50/465,861.75 = 465,861.75/x
  3. Step 3: Cross multiply
    306,058.50x = 465,861.75 × 465,861.75
  4. Step 4: Simplify right side
    306,058.50x = 217,027,170,113.06
  5. Step 5: Solve for x
    x = 217,027,170,113.06/306,058.50
  6. Step 6: Final answer
    x = 709,103.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.