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Finding the Third Proportional to 342,069 and 791,803

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Solution

The third proportional to 342,069 and 791,803 is: 1,832,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,069 : 791,803 = 791,803 : x
  2. Step 2: Convert to fraction form
    342,069/791,803 = 791,803/x
  3. Step 3: Cross multiply
    342,069x = 791,803 × 791,803
  4. Step 4: Simplify right side
    342,069x = 626,951,990,809
  5. Step 5: Solve for x
    x = 626,951,990,809/342,069
  6. Step 6: Final answer
    x = 1,832,823.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.