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Finding the Third Proportional to 224,412 and 491,052

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Solution

The third proportional to 224,412 and 491,052 is: 1,074,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,412 : 491,052 = 491,052 : x
  2. Step 2: Convert to fraction form
    224,412/491,052 = 491,052/x
  3. Step 3: Cross multiply
    224,412x = 491,052 × 491,052
  4. Step 4: Simplify right side
    224,412x = 241,132,066,704
  5. Step 5: Solve for x
    x = 241,132,066,704/224,412
  6. Step 6: Final answer
    x = 1,074,506.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.