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Finding the Third Proportional to 362,082 and 574,164

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Solution

The third proportional to 362,082 and 574,164 is: 910,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,082 : 574,164 = 574,164 : x
  2. Step 2: Convert to fraction form
    362,082/574,164 = 574,164/x
  3. Step 3: Cross multiply
    362,082x = 574,164 × 574,164
  4. Step 4: Simplify right side
    362,082x = 329,664,298,896
  5. Step 5: Solve for x
    x = 329,664,298,896/362,082
  6. Step 6: Final answer
    x = 910,468.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.