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Finding the Third Proportional to 281,254.50 and 615,933

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Solution

The third proportional to 281,254.50 and 615,933 is: 1,348,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,254.50 : 615,933 = 615,933 : x
  2. Step 2: Convert to fraction form
    281,254.50/615,933 = 615,933/x
  3. Step 3: Cross multiply
    281,254.50x = 615,933 × 615,933
  4. Step 4: Simplify right side
    281,254.50x = 379,373,460,489
  5. Step 5: Solve for x
    x = 379,373,460,489/281,254.50
  6. Step 6: Final answer
    x = 1,348,861.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.