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Finding the Third Proportional to 224,052 and 354,945

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Solution

The third proportional to 224,052 and 354,945 is: 562,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,052 : 354,945 = 354,945 : x
  2. Step 2: Convert to fraction form
    224,052/354,945 = 354,945/x
  3. Step 3: Cross multiply
    224,052x = 354,945 × 354,945
  4. Step 4: Simplify right side
    224,052x = 125,985,953,025
  5. Step 5: Solve for x
    x = 125,985,953,025/224,052
  6. Step 6: Final answer
    x = 562,306.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.