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Finding the Third Proportional to 401,297.63 and 835,810.50

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Solution

The third proportional to 401,297.63 and 835,810.50 is: 1,740,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,297.63 : 835,810.50 = 835,810.50 : x
  2. Step 2: Convert to fraction form
    401,297.63/835,810.50 = 835,810.50/x
  3. Step 3: Cross multiply
    401,297.63x = 835,810.50 × 835,810.50
  4. Step 4: Simplify right side
    401,297.63x = 698,579,191,910.25
  5. Step 5: Solve for x
    x = 698,579,191,910.25/401,297.63
  6. Step 6: Final answer
    x = 1,740,800.71

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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.