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Finding the Third Proportional to 335,050 and 729,196

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Solution

The third proportional to 335,050 and 729,196 is: 1,587,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,050 : 729,196 = 729,196 : x
  2. Step 2: Convert to fraction form
    335,050/729,196 = 729,196/x
  3. Step 3: Cross multiply
    335,050x = 729,196 × 729,196
  4. Step 4: Simplify right side
    335,050x = 531,726,806,416
  5. Step 5: Solve for x
    x = 531,726,806,416/335,050
  6. Step 6: Final answer
    x = 1,587,007.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.