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Finding the Third Proportional to 401,030 and 835,232

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Solution

The third proportional to 401,030 and 835,232 is: 1,739,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,030 : 835,232 = 835,232 : x
  2. Step 2: Convert to fraction form
    401,030/835,232 = 835,232/x
  3. Step 3: Cross multiply
    401,030x = 835,232 × 835,232
  4. Step 4: Simplify right side
    401,030x = 697,612,493,824
  5. Step 5: Solve for x
    x = 697,612,493,824/401,030
  6. Step 6: Final answer
    x = 1,739,551.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.