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Finding the Third Proportional to 408,052 and 875,152

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Solution

The third proportional to 408,052 and 875,152 is: 1,876,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052 : 875,152 = 875,152 : x
  2. Step 2: Convert to fraction form
    408,052/875,152 = 875,152/x
  3. Step 3: Cross multiply
    408,052x = 875,152 × 875,152
  4. Step 4: Simplify right side
    408,052x = 765,891,023,104
  5. Step 5: Solve for x
    x = 765,891,023,104/408,052
  6. Step 6: Final answer
    x = 1,876,944.66

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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.