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Finding the Third Proportional to 368,583 and 803,861

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Solution

The third proportional to 368,583 and 803,861 is: 1,753,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,583 : 803,861 = 803,861 : x
  2. Step 2: Convert to fraction form
    368,583/803,861 = 803,861/x
  3. Step 3: Cross multiply
    368,583x = 803,861 × 803,861
  4. Step 4: Simplify right side
    368,583x = 646,192,507,321
  5. Step 5: Solve for x
    x = 646,192,507,321/368,583
  6. Step 6: Final answer
    x = 1,753,180.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.