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Finding the Third Proportional to 403,887.94 and 874,641.38

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Solution

The third proportional to 403,887.94 and 874,641.38 is: 1,894,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,887.94 : 874,641.38 = 874,641.38 : x
  2. Step 2: Convert to fraction form
    403,887.94/874,641.38 = 874,641.38/x
  3. Step 3: Cross multiply
    403,887.94x = 874,641.38 × 874,641.38
  4. Step 4: Simplify right side
    403,887.94x = 764,997,534,861.89
  5. Step 5: Solve for x
    x = 764,997,534,861.89/403,887.94
  6. Step 6: Final answer
    x = 1,894,083.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.