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Finding the Third Proportional to 627,696 and 805,944

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Solution

The third proportional to 627,696 and 805,944 is: 1,034,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,696 : 805,944 = 805,944 : x
  2. Step 2: Convert to fraction form
    627,696/805,944 = 805,944/x
  3. Step 3: Cross multiply
    627,696x = 805,944 × 805,944
  4. Step 4: Simplify right side
    627,696x = 649,545,731,136
  5. Step 5: Solve for x
    x = 649,545,731,136/627,696
  6. Step 6: Final answer
    x = 1,034,809.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.