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Finding the Third Proportional to 335,071.69 and 505,698.19

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Solution

The third proportional to 335,071.69 and 505,698.19 is: 763,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,071.69 : 505,698.19 = 505,698.19 : x
  2. Step 2: Convert to fraction form
    335,071.69/505,698.19 = 505,698.19/x
  3. Step 3: Cross multiply
    335,071.69x = 505,698.19 × 505,698.19
  4. Step 4: Simplify right side
    335,071.69x = 255,730,656,840.79
  5. Step 5: Solve for x
    x = 255,730,656,840.79/335,071.69
  6. Step 6: Final answer
    x = 763,211.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.