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Finding the Third Proportional to 283,032.56 and 615,890.25

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Solution

The third proportional to 283,032.56 and 615,890.25 is: 1,340,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,032.56 : 615,890.25 = 615,890.25 : x
  2. Step 2: Convert to fraction form
    283,032.56/615,890.25 = 615,890.25/x
  3. Step 3: Cross multiply
    283,032.56x = 615,890.25 × 615,890.25
  4. Step 4: Simplify right side
    283,032.56x = 379,320,800,045.06
  5. Step 5: Solve for x
    x = 379,320,800,045.06/283,032.56
  6. Step 6: Final answer
    x = 1,340,201.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.