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Finding the Third Proportional to 234,404 and 362,730

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Solution

The third proportional to 234,404 and 362,730 is: 561,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,404 : 362,730 = 362,730 : x
  2. Step 2: Convert to fraction form
    234,404/362,730 = 362,730/x
  3. Step 3: Cross multiply
    234,404x = 362,730 × 362,730
  4. Step 4: Simplify right side
    234,404x = 131,573,052,900
  5. Step 5: Solve for x
    x = 131,573,052,900/234,404
  6. Step 6: Final answer
    x = 561,308.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.