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Finding the Third Proportional to 458,898.75 and 994,065.75

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Solution

The third proportional to 458,898.75 and 994,065.75 is: 2,153,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,898.75 : 994,065.75 = 994,065.75 : x
  2. Step 2: Convert to fraction form
    458,898.75/994,065.75 = 994,065.75/x
  3. Step 3: Cross multiply
    458,898.75x = 994,065.75 × 994,065.75
  4. Step 4: Simplify right side
    458,898.75x = 988,166,715,323.06
  5. Step 5: Solve for x
    x = 988,166,715,323.06/458,898.75
  6. Step 6: Final answer
    x = 2,153,343.66

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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.