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Finding the Third Proportional to 334,371 and 730,950

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Solution

The third proportional to 334,371 and 730,950 is: 1,597,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,371 : 730,950 = 730,950 : x
  2. Step 2: Convert to fraction form
    334,371/730,950 = 730,950/x
  3. Step 3: Cross multiply
    334,371x = 730,950 × 730,950
  4. Step 4: Simplify right side
    334,371x = 534,287,902,500
  5. Step 5: Solve for x
    x = 534,287,902,500/334,371
  6. Step 6: Final answer
    x = 1,597,889.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.