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Finding the Third Proportional to 328,119 and 701,736

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Solution

The third proportional to 328,119 and 701,736 is: 1,500,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,119 : 701,736 = 701,736 : x
  2. Step 2: Convert to fraction form
    328,119/701,736 = 701,736/x
  3. Step 3: Cross multiply
    328,119x = 701,736 × 701,736
  4. Step 4: Simplify right side
    328,119x = 492,433,413,696
  5. Step 5: Solve for x
    x = 492,433,413,696/328,119
  6. Step 6: Final answer
    x = 1,500,776.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.