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Finding the Third Proportional to 254,240 and 547,888

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Solution

The third proportional to 254,240 and 547,888 is: 1,180,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,240 : 547,888 = 547,888 : x
  2. Step 2: Convert to fraction form
    254,240/547,888 = 547,888/x
  3. Step 3: Cross multiply
    254,240x = 547,888 × 547,888
  4. Step 4: Simplify right side
    254,240x = 300,181,260,544
  5. Step 5: Solve for x
    x = 300,181,260,544/254,240
  6. Step 6: Final answer
    x = 1,180,700.36

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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.