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Finding the Third Proportional to 372,098 and 594,051

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Solution

The third proportional to 372,098 and 594,051 is: 948,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,098 : 594,051 = 594,051 : x
  2. Step 2: Convert to fraction form
    372,098/594,051 = 594,051/x
  3. Step 3: Cross multiply
    372,098x = 594,051 × 594,051
  4. Step 4: Simplify right side
    372,098x = 352,896,590,601
  5. Step 5: Solve for x
    x = 352,896,590,601/372,098
  6. Step 6: Final answer
    x = 948,396.90

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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.