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Finding the Third Proportional to 402,427.75 and 874,743.75

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Solution

The third proportional to 402,427.75 and 874,743.75 is: 1,901,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,427.75 : 874,743.75 = 874,743.75 : x
  2. Step 2: Convert to fraction form
    402,427.75/874,743.75 = 874,743.75/x
  3. Step 3: Cross multiply
    402,427.75x = 874,743.75 × 874,743.75
  4. Step 4: Simplify right side
    402,427.75x = 765,176,628,164.06
  5. Step 5: Solve for x
    x = 765,176,628,164.06/402,427.75
  6. Step 6: Final answer
    x = 1,901,401.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.