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Finding the Third Proportional to 224,592 and 336,541

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Solution

The third proportional to 224,592 and 336,541 is: 504,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,592 : 336,541 = 336,541 : x
  2. Step 2: Convert to fraction form
    224,592/336,541 = 336,541/x
  3. Step 3: Cross multiply
    224,592x = 336,541 × 336,541
  4. Step 4: Simplify right side
    224,592x = 113,259,844,681
  5. Step 5: Solve for x
    x = 113,259,844,681/224,592
  6. Step 6: Final answer
    x = 504,291.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.