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Finding the Third Proportional to 364,177.69 and 742,812.19

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Solution

The third proportional to 364,177.69 and 742,812.19 is: 1,515,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,177.69 : 742,812.19 = 742,812.19 : x
  2. Step 2: Convert to fraction form
    364,177.69/742,812.19 = 742,812.19/x
  3. Step 3: Cross multiply
    364,177.69x = 742,812.19 × 742,812.19
  4. Step 4: Simplify right side
    364,177.69x = 551,769,945,898.54
  5. Step 5: Solve for x
    x = 551,769,945,898.54/364,177.69
  6. Step 6: Final answer
    x = 1,515,111.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.