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Finding the Third Proportional to 380,230.50 and 814,434

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Solution

The third proportional to 380,230.50 and 814,434 is: 1,744,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,230.50 : 814,434 = 814,434 : x
  2. Step 2: Convert to fraction form
    380,230.50/814,434 = 814,434/x
  3. Step 3: Cross multiply
    380,230.50x = 814,434 × 814,434
  4. Step 4: Simplify right side
    380,230.50x = 663,302,740,356
  5. Step 5: Solve for x
    x = 663,302,740,356/380,230.50
  6. Step 6: Final answer
    x = 1,744,475.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.