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Finding the Third Proportional to 431,324 and 938,224

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Solution

The third proportional to 431,324 and 938,224 is: 2,040,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,324 : 938,224 = 938,224 : x
  2. Step 2: Convert to fraction form
    431,324/938,224 = 938,224/x
  3. Step 3: Cross multiply
    431,324x = 938,224 × 938,224
  4. Step 4: Simplify right side
    431,324x = 880,264,274,176
  5. Step 5: Solve for x
    x = 880,264,274,176/431,324
  6. Step 6: Final answer
    x = 2,040,842.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.