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Finding the Third Proportional to 402,322 and 837,714

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Solution

The third proportional to 402,322 and 837,714 is: 1,744,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,322 : 837,714 = 837,714 : x
  2. Step 2: Convert to fraction form
    402,322/837,714 = 837,714/x
  3. Step 3: Cross multiply
    402,322x = 837,714 × 837,714
  4. Step 4: Simplify right side
    402,322x = 701,764,745,796
  5. Step 5: Solve for x
    x = 701,764,745,796/402,322
  6. Step 6: Final answer
    x = 1,744,286.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.