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Finding the Third Proportional to 340,728.19 and 737,884.69

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Solution

The third proportional to 340,728.19 and 737,884.69 is: 1,597,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,728.19 : 737,884.69 = 737,884.69 : x
  2. Step 2: Convert to fraction form
    340,728.19/737,884.69 = 737,884.69/x
  3. Step 3: Cross multiply
    340,728.19x = 737,884.69 × 737,884.69
  4. Step 4: Simplify right side
    340,728.19x = 544,473,812,046.97
  5. Step 5: Solve for x
    x = 544,473,812,046.97/340,728.19
  6. Step 6: Final answer
    x = 1,597,971.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.