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Finding the Third Proportional to 432,333 and 939,438

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Solution

The third proportional to 432,333 and 939,438 is: 2,041,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,333 : 939,438 = 939,438 : x
  2. Step 2: Convert to fraction form
    432,333/939,438 = 939,438/x
  3. Step 3: Cross multiply
    432,333x = 939,438 × 939,438
  4. Step 4: Simplify right side
    432,333x = 882,543,755,844
  5. Step 5: Solve for x
    x = 882,543,755,844/432,333
  6. Step 6: Final answer
    x = 2,041,351.82

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Why These Related Problems?

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