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Finding the Third Proportional to 254,208 and 547,820

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Solution

The third proportional to 254,208 and 547,820 is: 1,180,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,208 : 547,820 = 547,820 : x
  2. Step 2: Convert to fraction form
    254,208/547,820 = 547,820/x
  3. Step 3: Cross multiply
    254,208x = 547,820 × 547,820
  4. Step 4: Simplify right side
    254,208x = 300,106,752,400
  5. Step 5: Solve for x
    x = 300,106,752,400/254,208
  6. Step 6: Final answer
    x = 1,180,555.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.