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Finding the Third Proportional to 344,302 and 531,819

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Solution

The third proportional to 344,302 and 531,819 is: 821,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,302 : 531,819 = 531,819 : x
  2. Step 2: Convert to fraction form
    344,302/531,819 = 531,819/x
  3. Step 3: Cross multiply
    344,302x = 531,819 × 531,819
  4. Step 4: Simplify right side
    344,302x = 282,831,448,761
  5. Step 5: Solve for x
    x = 282,831,448,761/344,302
  6. Step 6: Final answer
    x = 821,463.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.