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Finding the Third Proportional to 328,623.75 and 718,071.75

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Solution

The third proportional to 328,623.75 and 718,071.75 is: 1,569,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,623.75 : 718,071.75 = 718,071.75 : x
  2. Step 2: Convert to fraction form
    328,623.75/718,071.75 = 718,071.75/x
  3. Step 3: Cross multiply
    328,623.75x = 718,071.75 × 718,071.75
  4. Step 4: Simplify right side
    328,623.75x = 515,627,038,148.06
  5. Step 5: Solve for x
    x = 515,627,038,148.06/328,623.75
  6. Step 6: Final answer
    x = 1,569,049.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.