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Finding the Third Proportional to 254,726 and 547,024

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Solution

The third proportional to 254,726 and 547,024 is: 1,174,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,726 : 547,024 = 547,024 : x
  2. Step 2: Convert to fraction form
    254,726/547,024 = 547,024/x
  3. Step 3: Cross multiply
    254,726x = 547,024 × 547,024
  4. Step 4: Simplify right side
    254,726x = 299,235,256,576
  5. Step 5: Solve for x
    x = 299,235,256,576/254,726
  6. Step 6: Final answer
    x = 1,174,733.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.