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Finding the Third Proportional to 301,214 and 649,082

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Solution

The third proportional to 301,214 and 649,082 is: 1,398,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214 : 649,082 = 649,082 : x
  2. Step 2: Convert to fraction form
    301,214/649,082 = 649,082/x
  3. Step 3: Cross multiply
    301,214x = 649,082 × 649,082
  4. Step 4: Simplify right side
    301,214x = 421,307,442,724
  5. Step 5: Solve for x
    x = 421,307,442,724/301,214
  6. Step 6: Final answer
    x = 1,398,698.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.