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Finding the Third Proportional to 433,699.50 and 939,799

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Solution

The third proportional to 433,699.50 and 939,799 is: 2,036,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,699.50 : 939,799 = 939,799 : x
  2. Step 2: Convert to fraction form
    433,699.50/939,799 = 939,799/x
  3. Step 3: Cross multiply
    433,699.50x = 939,799 × 939,799
  4. Step 4: Simplify right side
    433,699.50x = 883,222,160,401
  5. Step 5: Solve for x
    x = 883,222,160,401/433,699.50
  6. Step 6: Final answer
    x = 2,036,484.16

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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.