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Finding the Third Proportional to 336,133.50 and 735,201

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Solution

The third proportional to 336,133.50 and 735,201 is: 1,608,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,133.50 : 735,201 = 735,201 : x
  2. Step 2: Convert to fraction form
    336,133.50/735,201 = 735,201/x
  3. Step 3: Cross multiply
    336,133.50x = 735,201 × 735,201
  4. Step 4: Simplify right side
    336,133.50x = 540,520,510,401
  5. Step 5: Solve for x
    x = 540,520,510,401/336,133.50
  6. Step 6: Final answer
    x = 1,608,053.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.