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Finding the Third Proportional to 408,050 and 875,148

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Solution

The third proportional to 408,050 and 875,148 is: 1,876,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,050 : 875,148 = 875,148 : x
  2. Step 2: Convert to fraction form
    408,050/875,148 = 875,148/x
  3. Step 3: Cross multiply
    408,050x = 875,148 × 875,148
  4. Step 4: Simplify right side
    408,050x = 765,884,021,904
  5. Step 5: Solve for x
    x = 765,884,021,904/408,050
  6. Step 6: Final answer
    x = 1,876,936.70

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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.