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Finding the Third Proportional to 417,543.75 and 894,135.94

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Solution

The third proportional to 417,543.75 and 894,135.94 is: 1,914,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,543.75 : 894,135.94 = 894,135.94 : x
  2. Step 2: Convert to fraction form
    417,543.75/894,135.94 = 894,135.94/x
  3. Step 3: Cross multiply
    417,543.75x = 894,135.94 × 894,135.94
  4. Step 4: Simplify right side
    417,543.75x = 799,479,074,729.00
  5. Step 5: Solve for x
    x = 799,479,074,729.00/417,543.75
  6. Step 6: Final answer
    x = 1,914,719.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.