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Finding the Third Proportional to 398,756 and 875,018

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Solution

The third proportional to 398,756 and 875,018 is: 1,920,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,756 : 875,018 = 875,018 : x
  2. Step 2: Convert to fraction form
    398,756/875,018 = 875,018/x
  3. Step 3: Cross multiply
    398,756x = 875,018 × 875,018
  4. Step 4: Simplify right side
    398,756x = 765,656,500,324
  5. Step 5: Solve for x
    x = 765,656,500,324/398,756
  6. Step 6: Final answer
    x = 1,920,112.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.