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Finding the Third Proportional to 453,458.25 and 988,564.50

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Solution

The third proportional to 453,458.25 and 988,564.50 is: 2,155,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,458.25 : 988,564.50 = 988,564.50 : x
  2. Step 2: Convert to fraction form
    453,458.25/988,564.50 = 988,564.50/x
  3. Step 3: Cross multiply
    453,458.25x = 988,564.50 × 988,564.50
  4. Step 4: Simplify right side
    453,458.25x = 977,259,770,660.25
  5. Step 5: Solve for x
    x = 977,259,770,660.25/453,458.25
  6. Step 6: Final answer
    x = 2,155,126.23

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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.