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Finding the Third Proportional to 314,362 and 699,864

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Solution

The third proportional to 314,362 and 699,864 is: 1,558,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,362 : 699,864 = 699,864 : x
  2. Step 2: Convert to fraction form
    314,362/699,864 = 699,864/x
  3. Step 3: Cross multiply
    314,362x = 699,864 × 699,864
  4. Step 4: Simplify right side
    314,362x = 489,809,618,496
  5. Step 5: Solve for x
    x = 489,809,618,496/314,362
  6. Step 6: Final answer
    x = 1,558,106.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.