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Finding the Third Proportional to 347,173 and 541,057

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Solution

The third proportional to 347,173 and 541,057 is: 843,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,173 : 541,057 = 541,057 : x
  2. Step 2: Convert to fraction form
    347,173/541,057 = 541,057/x
  3. Step 3: Cross multiply
    347,173x = 541,057 × 541,057
  4. Step 4: Simplify right side
    347,173x = 292,742,677,249
  5. Step 5: Solve for x
    x = 292,742,677,249/347,173
  6. Step 6: Final answer
    x = 843,218.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.