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Finding the Third Proportional to 401,200.13 and 874,368.38

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Solution

The third proportional to 401,200.13 and 874,368.38 is: 1,905,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,200.13 : 874,368.38 = 874,368.38 : x
  2. Step 2: Convert to fraction form
    401,200.13/874,368.38 = 874,368.38/x
  3. Step 3: Cross multiply
    401,200.13x = 874,368.38 × 874,368.38
  4. Step 4: Simplify right side
    401,200.13x = 764,520,055,200.14
  5. Step 5: Solve for x
    x = 764,520,055,200.14/401,200.13
  6. Step 6: Final answer
    x = 1,905,582.79

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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.