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Finding the Third Proportional to 554,735.25 and 1,193,746.50

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Solution

The third proportional to 554,735.25 and 1,193,746.50 is: 2,568,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,735.25 : 1,193,746.50 = 1,193,746.50 : x
  2. Step 2: Convert to fraction form
    554,735.25/1,193,746.50 = 1,193,746.50/x
  3. Step 3: Cross multiply
    554,735.25x = 1,193,746.50 × 1,193,746.50
  4. Step 4: Simplify right side
    554,735.25x = 1,425,030,706,262.25
  5. Step 5: Solve for x
    x = 1,425,030,706,262.25/554,735.25
  6. Step 6: Final answer
    x = 2,568,848.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.