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Finding the Third Proportional to 303,820 and 654,386

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Solution

The third proportional to 303,820 and 654,386 is: 1,409,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,820 : 654,386 = 654,386 : x
  2. Step 2: Convert to fraction form
    303,820/654,386 = 654,386/x
  3. Step 3: Cross multiply
    303,820x = 654,386 × 654,386
  4. Step 4: Simplify right side
    303,820x = 428,221,036,996
  5. Step 5: Solve for x
    x = 428,221,036,996/303,820
  6. Step 6: Final answer
    x = 1,409,456.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.