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Finding the Third Proportional to 253,828 and 601,332

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Solution

The third proportional to 253,828 and 601,332 is: 1,424,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,828 : 601,332 = 601,332 : x
  2. Step 2: Convert to fraction form
    253,828/601,332 = 601,332/x
  3. Step 3: Cross multiply
    253,828x = 601,332 × 601,332
  4. Step 4: Simplify right side
    253,828x = 361,600,174,224
  5. Step 5: Solve for x
    x = 361,600,174,224/253,828
  6. Step 6: Final answer
    x = 1,424,587.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.