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Finding the Third Proportional to 468,831 and 700,157

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Solution

The third proportional to 468,831 and 700,157 is: 1,045,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,831 : 700,157 = 700,157 : x
  2. Step 2: Convert to fraction form
    468,831/700,157 = 700,157/x
  3. Step 3: Cross multiply
    468,831x = 700,157 × 700,157
  4. Step 4: Simplify right side
    468,831x = 490,219,824,649
  5. Step 5: Solve for x
    x = 490,219,824,649/468,831
  6. Step 6: Final answer
    x = 1,045,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.