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Finding the Third Proportional to 364,180 and 742,814

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Solution

The third proportional to 364,180 and 742,814 is: 1,515,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,180 : 742,814 = 742,814 : x
  2. Step 2: Convert to fraction form
    364,180/742,814 = 742,814/x
  3. Step 3: Cross multiply
    364,180x = 742,814 × 742,814
  4. Step 4: Simplify right side
    364,180x = 551,772,638,596
  5. Step 5: Solve for x
    x = 551,772,638,596/364,180
  6. Step 6: Final answer
    x = 1,515,109.67

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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.