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Finding the Third Proportional to 341,620 and 473,684

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Solution

The third proportional to 341,620 and 473,684 is: 656,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,620 : 473,684 = 473,684 : x
  2. Step 2: Convert to fraction form
    341,620/473,684 = 473,684/x
  3. Step 3: Cross multiply
    341,620x = 473,684 × 473,684
  4. Step 4: Simplify right side
    341,620x = 224,376,531,856
  5. Step 5: Solve for x
    x = 224,376,531,856/341,620
  6. Step 6: Final answer
    x = 656,801.51

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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.