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Finding the Third Proportional to 301,082 and 650,164

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Solution

The third proportional to 301,082 and 650,164 is: 1,403,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082 : 650,164 = 650,164 : x
  2. Step 2: Convert to fraction form
    301,082/650,164 = 650,164/x
  3. Step 3: Cross multiply
    301,082x = 650,164 × 650,164
  4. Step 4: Simplify right side
    301,082x = 422,713,226,896
  5. Step 5: Solve for x
    x = 422,713,226,896/301,082
  6. Step 6: Final answer
    x = 1,403,980.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.