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Finding the Third Proportional to 254,724 and 547,020

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Solution

The third proportional to 254,724 and 547,020 is: 1,174,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,724 : 547,020 = 547,020 : x
  2. Step 2: Convert to fraction form
    254,724/547,020 = 547,020/x
  3. Step 3: Cross multiply
    254,724x = 547,020 × 547,020
  4. Step 4: Simplify right side
    254,724x = 299,230,880,400
  5. Step 5: Solve for x
    x = 299,230,880,400/254,724
  6. Step 6: Final answer
    x = 1,174,725.90

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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.