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Finding the Third Proportional to 341,092 and 704,120

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Solution

The third proportional to 341,092 and 704,120 is: 1,453,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,092 : 704,120 = 704,120 : x
  2. Step 2: Convert to fraction form
    341,092/704,120 = 704,120/x
  3. Step 3: Cross multiply
    341,092x = 704,120 × 704,120
  4. Step 4: Simplify right side
    341,092x = 495,784,974,400
  5. Step 5: Solve for x
    x = 495,784,974,400/341,092
  6. Step 6: Final answer
    x = 1,453,522.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.