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Finding the Third Proportional to 301,214 and 401,574

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Solution

The third proportional to 301,214 and 401,574 is: 535,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214 : 401,574 = 401,574 : x
  2. Step 2: Convert to fraction form
    301,214/401,574 = 401,574/x
  3. Step 3: Cross multiply
    301,214x = 401,574 × 401,574
  4. Step 4: Simplify right side
    301,214x = 161,261,677,476
  5. Step 5: Solve for x
    x = 161,261,677,476/301,214
  6. Step 6: Final answer
    x = 535,372.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.