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Finding the Third Proportional to 344,278.69 and 745,729.88

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Solution

The third proportional to 344,278.69 and 745,729.88 is: 1,615,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,278.69 : 745,729.88 = 745,729.88 : x
  2. Step 2: Convert to fraction form
    344,278.69/745,729.88 = 745,729.88/x
  3. Step 3: Cross multiply
    344,278.69x = 745,729.88 × 745,729.88
  4. Step 4: Simplify right side
    344,278.69x = 556,113,046,467.52
  5. Step 5: Solve for x
    x = 556,113,046,467.52/344,278.69
  6. Step 6: Final answer
    x = 1,615,299.08

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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.