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Finding the Third Proportional to 372,102 and 594,057

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Solution

The third proportional to 372,102 and 594,057 is: 948,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,102 : 594,057 = 594,057 : x
  2. Step 2: Convert to fraction form
    372,102/594,057 = 594,057/x
  3. Step 3: Cross multiply
    372,102x = 594,057 × 594,057
  4. Step 4: Simplify right side
    372,102x = 352,903,719,249
  5. Step 5: Solve for x
    x = 352,903,719,249/372,102
  6. Step 6: Final answer
    x = 948,405.87

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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.