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Finding the Third Proportional to 252,838 and 583,852

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Solution

The third proportional to 252,838 and 583,852 is: 1,348,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,838 : 583,852 = 583,852 : x
  2. Step 2: Convert to fraction form
    252,838/583,852 = 583,852/x
  3. Step 3: Cross multiply
    252,838x = 583,852 × 583,852
  4. Step 4: Simplify right side
    252,838x = 340,883,157,904
  5. Step 5: Solve for x
    x = 340,883,157,904/252,838
  6. Step 6: Final answer
    x = 1,348,227.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.