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Finding the Third Proportional to 314,360.37 and 699,859.62

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Solution

The third proportional to 314,360.37 and 699,859.62 is: 1,558,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,360.37 : 699,859.62 = 699,859.62 : x
  2. Step 2: Convert to fraction form
    314,360.37/699,859.62 = 699,859.62/x
  3. Step 3: Cross multiply
    314,360.37x = 699,859.62 × 699,859.62
  4. Step 4: Simplify right side
    314,360.37x = 489,803,483,769.83
  5. Step 5: Solve for x
    x = 489,803,483,769.83/314,360.37
  6. Step 6: Final answer
    x = 1,558,095.53

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