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Finding the Third Proportional to 342,971.72 and 753,820.17

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Solution

The third proportional to 342,971.72 and 753,820.17 is: 1,656,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,971.72 : 753,820.17 = 753,820.17 : x
  2. Step 2: Convert to fraction form
    342,971.72/753,820.17 = 753,820.17/x
  3. Step 3: Cross multiply
    342,971.72x = 753,820.17 × 753,820.17
  4. Step 4: Simplify right side
    342,971.72x = 568,244,851,525.66
  5. Step 5: Solve for x
    x = 568,244,851,525.66/342,971.72
  6. Step 6: Final answer
    x = 1,656,827.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.