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Finding the Third Proportional to 336,608.16 and 737,596.13

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Solution

The third proportional to 336,608.16 and 737,596.13 is: 1,616,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,608.16 : 737,596.13 = 737,596.13 : x
  2. Step 2: Convert to fraction form
    336,608.16/737,596.13 = 737,596.13/x
  3. Step 3: Cross multiply
    336,608.16x = 737,596.13 × 737,596.13
  4. Step 4: Simplify right side
    336,608.16x = 544,048,043,615.02
  5. Step 5: Solve for x
    x = 544,048,043,615.02/336,608.16
  6. Step 6: Final answer
    x = 1,616,265.18

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Why These Related Problems?

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