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Finding the Third Proportional to 375,518 and 834,997

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Solution

The third proportional to 375,518 and 834,997 is: 1,856,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,518 : 834,997 = 834,997 : x
  2. Step 2: Convert to fraction form
    375,518/834,997 = 834,997/x
  3. Step 3: Cross multiply
    375,518x = 834,997 × 834,997
  4. Step 4: Simplify right side
    375,518x = 697,219,990,009
  5. Step 5: Solve for x
    x = 697,219,990,009/375,518
  6. Step 6: Final answer
    x = 1,856,688.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.