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Finding the Third Proportional to 380,017.50 and 534,417

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Solution

The third proportional to 380,017.50 and 534,417 is: 751,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,017.50 : 534,417 = 534,417 : x
  2. Step 2: Convert to fraction form
    380,017.50/534,417 = 534,417/x
  3. Step 3: Cross multiply
    380,017.50x = 534,417 × 534,417
  4. Step 4: Simplify right side
    380,017.50x = 285,601,529,889
  5. Step 5: Solve for x
    x = 285,601,529,889/380,017.50
  6. Step 6: Final answer
    x = 751,548.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.