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Finding the Third Proportional to 408,261 and 875,544

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Solution

The third proportional to 408,261 and 875,544 is: 1,877,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,261 : 875,544 = 875,544 : x
  2. Step 2: Convert to fraction form
    408,261/875,544 = 875,544/x
  3. Step 3: Cross multiply
    408,261x = 875,544 × 875,544
  4. Step 4: Simplify right side
    408,261x = 766,577,295,936
  5. Step 5: Solve for x
    x = 766,577,295,936/408,261
  6. Step 6: Final answer
    x = 1,877,664.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.