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Finding the Third Proportional to 344,197.69 and 745,599.94

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Solution

The third proportional to 344,197.69 and 745,599.94 is: 1,615,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,197.69 : 745,599.94 = 745,599.94 : x
  2. Step 2: Convert to fraction form
    344,197.69/745,599.94 = 745,599.94/x
  3. Step 3: Cross multiply
    344,197.69x = 745,599.94 × 745,599.94
  4. Step 4: Simplify right side
    344,197.69x = 555,919,266,800.00
  5. Step 5: Solve for x
    x = 555,919,266,800.00/344,197.69
  6. Step 6: Final answer
    x = 1,615,116.22

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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.