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Finding the Third Proportional to 253,908 and 540,714

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Solution

The third proportional to 253,908 and 540,714 is: 1,151,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,908 : 540,714 = 540,714 : x
  2. Step 2: Convert to fraction form
    253,908/540,714 = 540,714/x
  3. Step 3: Cross multiply
    253,908x = 540,714 × 540,714
  4. Step 4: Simplify right side
    253,908x = 292,371,629,796
  5. Step 5: Solve for x
    x = 292,371,629,796/253,908
  6. Step 6: Final answer
    x = 1,151,486.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.