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Finding the Third Proportional to 234,404 and 362,732

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Solution

The third proportional to 234,404 and 362,732 is: 561,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,404 : 362,732 = 362,732 : x
  2. Step 2: Convert to fraction form
    234,404/362,732 = 362,732/x
  3. Step 3: Cross multiply
    234,404x = 362,732 × 362,732
  4. Step 4: Simplify right side
    234,404x = 131,574,503,824
  5. Step 5: Solve for x
    x = 131,574,503,824/234,404
  6. Step 6: Final answer
    x = 561,315.10

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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.