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Finding the Third Proportional to 366,400 and 803,648

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Solution

The third proportional to 366,400 and 803,648 is: 1,762,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,400 : 803,648 = 803,648 : x
  2. Step 2: Convert to fraction form
    366,400/803,648 = 803,648/x
  3. Step 3: Cross multiply
    366,400x = 803,648 × 803,648
  4. Step 4: Simplify right side
    366,400x = 645,850,107,904
  5. Step 5: Solve for x
    x = 645,850,107,904/366,400
  6. Step 6: Final answer
    x = 1,762,691.34

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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.