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Finding the Third Proportional to 262,173.38 and 574,368.75

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Solution

The third proportional to 262,173.38 and 574,368.75 is: 1,258,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,173.38 : 574,368.75 = 574,368.75 : x
  2. Step 2: Convert to fraction form
    262,173.38/574,368.75 = 574,368.75/x
  3. Step 3: Cross multiply
    262,173.38x = 574,368.75 × 574,368.75
  4. Step 4: Simplify right side
    262,173.38x = 329,899,460,976.56
  5. Step 5: Solve for x
    x = 329,899,460,976.56/262,173.38
  6. Step 6: Final answer
    x = 1,258,325.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.