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Finding the Third Proportional to 341,626 and 473,692

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Solution

The third proportional to 341,626 and 473,692 is: 656,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,626 : 473,692 = 473,692 : x
  2. Step 2: Convert to fraction form
    341,626/473,692 = 473,692/x
  3. Step 3: Cross multiply
    341,626x = 473,692 × 473,692
  4. Step 4: Simplify right side
    341,626x = 224,384,110,864
  5. Step 5: Solve for x
    x = 224,384,110,864/341,626
  6. Step 6: Final answer
    x = 656,812.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.