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Finding the Third Proportional to 435,638.25 and 938,017.97

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Solution

The third proportional to 435,638.25 and 938,017.97 is: 2,019,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,638.25 : 938,017.97 = 938,017.97 : x
  2. Step 2: Convert to fraction form
    435,638.25/938,017.97 = 938,017.97/x
  3. Step 3: Cross multiply
    435,638.25x = 938,017.97 × 938,017.97
  4. Step 4: Simplify right side
    435,638.25x = 879,877,709,697.88
  5. Step 5: Solve for x
    x = 879,877,709,697.88/435,638.25
  6. Step 6: Final answer
    x = 2,019,743.93

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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.