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Finding the Third Proportional to 341,622 and 473,687

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Solution

The third proportional to 341,622 and 473,687 is: 656,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,622 : 473,687 = 473,687 : x
  2. Step 2: Convert to fraction form
    341,622/473,687 = 473,687/x
  3. Step 3: Cross multiply
    341,622x = 473,687 × 473,687
  4. Step 4: Simplify right side
    341,622x = 224,379,373,969
  5. Step 5: Solve for x
    x = 224,379,373,969/341,622
  6. Step 6: Final answer
    x = 656,805.98

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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.