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Finding the Third Proportional to 303,197.22 and 615,304.06

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Solution

The third proportional to 303,197.22 and 615,304.06 is: 1,248,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,197.22 : 615,304.06 = 615,304.06 : x
  2. Step 2: Convert to fraction form
    303,197.22/615,304.06 = 615,304.06/x
  3. Step 3: Cross multiply
    303,197.22x = 615,304.06 × 615,304.06
  4. Step 4: Simplify right side
    303,197.22x = 378,599,089,329.00
  5. Step 5: Solve for x
    x = 378,599,089,329.00/303,197.22
  6. Step 6: Final answer
    x = 1,248,689.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.