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Finding the Third Proportional to 305,876 and 719,654

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Solution

The third proportional to 305,876 and 719,654 is: 1,693,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,876 : 719,654 = 719,654 : x
  2. Step 2: Convert to fraction form
    305,876/719,654 = 719,654/x
  3. Step 3: Cross multiply
    305,876x = 719,654 × 719,654
  4. Step 4: Simplify right side
    305,876x = 517,901,879,716
  5. Step 5: Solve for x
    x = 517,901,879,716/305,876
  6. Step 6: Final answer
    x = 1,693,175.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.