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Finding the Third Proportional to 234,028 and 334,417

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Solution

The third proportional to 234,028 and 334,417 is: 477,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,028 : 334,417 = 334,417 : x
  2. Step 2: Convert to fraction form
    234,028/334,417 = 334,417/x
  3. Step 3: Cross multiply
    234,028x = 334,417 × 334,417
  4. Step 4: Simplify right side
    234,028x = 111,834,729,889
  5. Step 5: Solve for x
    x = 111,834,729,889/234,028
  6. Step 6: Final answer
    x = 477,869.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.