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Finding the Third Proportional to 305,258 and 663,063

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Solution

The third proportional to 305,258 and 663,063 is: 1,440,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,258 : 663,063 = 663,063 : x
  2. Step 2: Convert to fraction form
    305,258/663,063 = 663,063/x
  3. Step 3: Cross multiply
    305,258x = 663,063 × 663,063
  4. Step 4: Simplify right side
    305,258x = 439,652,541,969
  5. Step 5: Solve for x
    x = 439,652,541,969/305,258
  6. Step 6: Final answer
    x = 1,440,265.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.