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Finding the Third Proportional to 395,021 and 875,455

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Solution

The third proportional to 395,021 and 875,455 is: 1,940,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,021 : 875,455 = 875,455 : x
  2. Step 2: Convert to fraction form
    395,021/875,455 = 875,455/x
  3. Step 3: Cross multiply
    395,021x = 875,455 × 875,455
  4. Step 4: Simplify right side
    395,021x = 766,421,457,025
  5. Step 5: Solve for x
    x = 766,421,457,025/395,021
  6. Step 6: Final answer
    x = 1,940,204.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.