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Finding the Third Proportional to 380,070 and 601,794

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Solution

The third proportional to 380,070 and 601,794 is: 952,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,070 : 601,794 = 601,794 : x
  2. Step 2: Convert to fraction form
    380,070/601,794 = 601,794/x
  3. Step 3: Cross multiply
    380,070x = 601,794 × 601,794
  4. Step 4: Simplify right side
    380,070x = 362,156,018,436
  5. Step 5: Solve for x
    x = 362,156,018,436/380,070
  6. Step 6: Final answer
    x = 952,866.63

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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.