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Finding the Third Proportional to 295,414,800 and 683,831,805

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Solution

The third proportional to 295,414,800 and 683,831,805 is: 1,582,946,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,414,800 : 683,831,805 = 683,831,805 : x
  2. Step 2: Convert to fraction form
    295,414,800/683,831,805 = 683,831,805/x
  3. Step 3: Cross multiply
    295,414,800x = 683,831,805 × 683,831,805
  4. Step 4: Simplify right side
    295,414,800x = 467,625,937,529,558,016
  5. Step 5: Solve for x
    x = 467,625,937,529,558,016/295,414,800
  6. Step 6: Final answer
    x = 1,582,946,885.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.