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Finding the Third Proportional to 236,650.50 and 514,765

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Solution

The third proportional to 236,650.50 and 514,765 is: 1,119,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,650.50 : 514,765 = 514,765 : x
  2. Step 2: Convert to fraction form
    236,650.50/514,765 = 514,765/x
  3. Step 3: Cross multiply
    236,650.50x = 514,765 × 514,765
  4. Step 4: Simplify right side
    236,650.50x = 264,983,005,225
  5. Step 5: Solve for x
    x = 264,983,005,225/236,650.50
  6. Step 6: Final answer
    x = 1,119,722.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.