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Finding the Third Proportional to 372,100 and 594,054

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Solution

The third proportional to 372,100 and 594,054 is: 948,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,100 : 594,054 = 594,054 : x
  2. Step 2: Convert to fraction form
    372,100/594,054 = 594,054/x
  3. Step 3: Cross multiply
    372,100x = 594,054 × 594,054
  4. Step 4: Simplify right side
    372,100x = 352,900,154,916
  5. Step 5: Solve for x
    x = 352,900,154,916/372,100
  6. Step 6: Final answer
    x = 948,401.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.