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Finding the Third Proportional to 342,076 and 791,817

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Solution

The third proportional to 342,076 and 791,817 is: 1,832,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,076 : 791,817 = 791,817 : x
  2. Step 2: Convert to fraction form
    342,076/791,817 = 791,817/x
  3. Step 3: Cross multiply
    342,076x = 791,817 × 791,817
  4. Step 4: Simplify right side
    342,076x = 626,974,161,489
  5. Step 5: Solve for x
    x = 626,974,161,489/342,076
  6. Step 6: Final answer
    x = 1,832,850.48

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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.