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Finding the Third Proportional to 336,448.50 and 735,591

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Solution

The third proportional to 336,448.50 and 735,591 is: 1,608,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,448.50 : 735,591 = 735,591 : x
  2. Step 2: Convert to fraction form
    336,448.50/735,591 = 735,591/x
  3. Step 3: Cross multiply
    336,448.50x = 735,591 × 735,591
  4. Step 4: Simplify right side
    336,448.50x = 541,094,119,281
  5. Step 5: Solve for x
    x = 541,094,119,281/336,448.50
  6. Step 6: Final answer
    x = 1,608,252.43

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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.