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Finding the Third Proportional to 361,867.50 and 531,954

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Solution

The third proportional to 361,867.50 and 531,954 is: 781,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,867.50 : 531,954 = 531,954 : x
  2. Step 2: Convert to fraction form
    361,867.50/531,954 = 531,954/x
  3. Step 3: Cross multiply
    361,867.50x = 531,954 × 531,954
  4. Step 4: Simplify right side
    361,867.50x = 282,975,058,116
  5. Step 5: Solve for x
    x = 282,975,058,116/361,867.50
  6. Step 6: Final answer
    x = 781,985.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.