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Finding the Third Proportional to 411,550.88 and 867,935.25

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Solution

The third proportional to 411,550.88 and 867,935.25 is: 1,830,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,550.88 : 867,935.25 = 867,935.25 : x
  2. Step 2: Convert to fraction form
    411,550.88/867,935.25 = 867,935.25/x
  3. Step 3: Cross multiply
    411,550.88x = 867,935.25 × 867,935.25
  4. Step 4: Simplify right side
    411,550.88x = 753,311,598,192.56
  5. Step 5: Solve for x
    x = 753,311,598,192.56/411,550.88
  6. Step 6: Final answer
    x = 1,830,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.