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Finding the Third Proportional to 254,714 and 547,000

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Solution

The third proportional to 254,714 and 547,000 is: 1,174,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,714 : 547,000 = 547,000 : x
  2. Step 2: Convert to fraction form
    254,714/547,000 = 547,000/x
  3. Step 3: Cross multiply
    254,714x = 547,000 × 547,000
  4. Step 4: Simplify right side
    254,714x = 299,209,000,000
  5. Step 5: Solve for x
    x = 299,209,000,000/254,714
  6. Step 6: Final answer
    x = 1,174,686.12

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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.