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Finding the Third Proportional to 432,418 and 931,268

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Solution

The third proportional to 432,418 and 931,268 is: 2,005,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,418 : 931,268 = 931,268 : x
  2. Step 2: Convert to fraction form
    432,418/931,268 = 931,268/x
  3. Step 3: Cross multiply
    432,418x = 931,268 × 931,268
  4. Step 4: Simplify right side
    432,418x = 867,260,087,824
  5. Step 5: Solve for x
    x = 867,260,087,824/432,418
  6. Step 6: Final answer
    x = 2,005,605.89

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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.