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Finding the Third Proportional to 336,853.69 and 727,681.22

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Solution

The third proportional to 336,853.69 and 727,681.22 is: 1,571,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,853.69 : 727,681.22 = 727,681.22 : x
  2. Step 2: Convert to fraction form
    336,853.69/727,681.22 = 727,681.22/x
  3. Step 3: Cross multiply
    336,853.69x = 727,681.22 × 727,681.22
  4. Step 4: Simplify right side
    336,853.69x = 529,519,956,121.49
  5. Step 5: Solve for x
    x = 529,519,956,121.49/336,853.69
  6. Step 6: Final answer
    x = 1,571,958.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.