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Finding the Third Proportional to 246,596 and 538,852

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Solution

The third proportional to 246,596 and 538,852 is: 1,177,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,596 : 538,852 = 538,852 : x
  2. Step 2: Convert to fraction form
    246,596/538,852 = 538,852/x
  3. Step 3: Cross multiply
    246,596x = 538,852 × 538,852
  4. Step 4: Simplify right side
    246,596x = 290,361,477,904
  5. Step 5: Solve for x
    x = 290,361,477,904/246,596
  6. Step 6: Final answer
    x = 1,177,478.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.