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Finding the Third Proportional to 379,930 and 601,602

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Solution

The third proportional to 379,930 and 601,602 is: 952,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,930 : 601,602 = 601,602 : x
  2. Step 2: Convert to fraction form
    379,930/601,602 = 601,602/x
  3. Step 3: Cross multiply
    379,930x = 601,602 × 601,602
  4. Step 4: Simplify right side
    379,930x = 361,924,966,404
  5. Step 5: Solve for x
    x = 361,924,966,404/379,930
  6. Step 6: Final answer
    x = 952,609.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.