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Finding the Third Proportional to 342,769.50 and 742,738.50

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Solution

The third proportional to 342,769.50 and 742,738.50 is: 1,609,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,769.50 : 742,738.50 = 742,738.50 : x
  2. Step 2: Convert to fraction form
    342,769.50/742,738.50 = 742,738.50/x
  3. Step 3: Cross multiply
    342,769.50x = 742,738.50 × 742,738.50
  4. Step 4: Simplify right side
    342,769.50x = 551,660,479,382.25
  5. Step 5: Solve for x
    x = 551,660,479,382.25/342,769.50
  6. Step 6: Final answer
    x = 1,609,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.