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Finding the Third Proportional to 366,989 and 803,914

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Solution

The third proportional to 366,989 and 803,914 is: 1,761,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,989 : 803,914 = 803,914 : x
  2. Step 2: Convert to fraction form
    366,989/803,914 = 803,914/x
  3. Step 3: Cross multiply
    366,989x = 803,914 × 803,914
  4. Step 4: Simplify right side
    366,989x = 646,277,719,396
  5. Step 5: Solve for x
    x = 646,277,719,396/366,989
  6. Step 6: Final answer
    x = 1,761,027.50

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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.