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Finding the Third Proportional to 448,955.25 and 997,556.25

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Solution

The third proportional to 448,955.25 and 997,556.25 is: 2,216,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,955.25 : 997,556.25 = 997,556.25 : x
  2. Step 2: Convert to fraction form
    448,955.25/997,556.25 = 997,556.25/x
  3. Step 3: Cross multiply
    448,955.25x = 997,556.25 × 997,556.25
  4. Step 4: Simplify right side
    448,955.25x = 995,118,471,914.06
  5. Step 5: Solve for x
    x = 995,118,471,914.06/448,955.25
  6. Step 6: Final answer
    x = 2,216,520.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.