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Finding the Third Proportional to 417,273.75 and 901,068.75

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Solution

The third proportional to 417,273.75 and 901,068.75 is: 1,945,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,273.75 : 901,068.75 = 901,068.75 : x
  2. Step 2: Convert to fraction form
    417,273.75/901,068.75 = 901,068.75/x
  3. Step 3: Cross multiply
    417,273.75x = 901,068.75 × 901,068.75
  4. Step 4: Simplify right side
    417,273.75x = 811,924,892,226.56
  5. Step 5: Solve for x
    x = 811,924,892,226.56/417,273.75
  6. Step 6: Final answer
    x = 1,945,784.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.