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Finding the Third Proportional to 247,392 and 538,944

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Solution

The third proportional to 247,392 and 538,944 is: 1,174,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,392 : 538,944 = 538,944 : x
  2. Step 2: Convert to fraction form
    247,392/538,944 = 538,944/x
  3. Step 3: Cross multiply
    247,392x = 538,944 × 538,944
  4. Step 4: Simplify right side
    247,392x = 290,460,635,136
  5. Step 5: Solve for x
    x = 290,460,635,136/247,392
  6. Step 6: Final answer
    x = 1,174,090.65

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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.