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Finding the Third Proportional to 247,053 and 538,714

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Solution

The third proportional to 247,053 and 538,714 is: 1,174,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,053 : 538,714 = 538,714 : x
  2. Step 2: Convert to fraction form
    247,053/538,714 = 538,714/x
  3. Step 3: Cross multiply
    247,053x = 538,714 × 538,714
  4. Step 4: Simplify right side
    247,053x = 290,212,773,796
  5. Step 5: Solve for x
    x = 290,212,773,796/247,053
  6. Step 6: Final answer
    x = 1,174,698.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.