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Finding the Third Proportional to 417,099.75 and 910,654.50

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Solution

The third proportional to 417,099.75 and 910,654.50 is: 1,988,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,099.75 : 910,654.50 = 910,654.50 : x
  2. Step 2: Convert to fraction form
    417,099.75/910,654.50 = 910,654.50/x
  3. Step 3: Cross multiply
    417,099.75x = 910,654.50 × 910,654.50
  4. Step 4: Simplify right side
    417,099.75x = 829,291,618,370.25
  5. Step 5: Solve for x
    x = 829,291,618,370.25/417,099.75
  6. Step 6: Final answer
    x = 1,988,233.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.