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Finding the Third Proportional to 380,152 and 531,476

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Solution

The third proportional to 380,152 and 531,476 is: 743,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,152 : 531,476 = 531,476 : x
  2. Step 2: Convert to fraction form
    380,152/531,476 = 531,476/x
  3. Step 3: Cross multiply
    380,152x = 531,476 × 531,476
  4. Step 4: Simplify right side
    380,152x = 282,466,738,576
  5. Step 5: Solve for x
    x = 282,466,738,576/380,152
  6. Step 6: Final answer
    x = 743,036.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.