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Finding the Third Proportional to 337,133 and 767,799

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Solution

The third proportional to 337,133 and 767,799 is: 1,748,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,133 : 767,799 = 767,799 : x
  2. Step 2: Convert to fraction form
    337,133/767,799 = 767,799/x
  3. Step 3: Cross multiply
    337,133x = 767,799 × 767,799
  4. Step 4: Simplify right side
    337,133x = 589,515,304,401
  5. Step 5: Solve for x
    x = 589,515,304,401/337,133
  6. Step 6: Final answer
    x = 1,748,613.47

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.