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Finding the Third Proportional to 270,927.56 and 595,483.88

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Solution

The third proportional to 270,927.56 and 595,483.88 is: 1,308,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,927.56 : 595,483.88 = 595,483.88 : x
  2. Step 2: Convert to fraction form
    270,927.56/595,483.88 = 595,483.88/x
  3. Step 3: Cross multiply
    270,927.56x = 595,483.88 × 595,483.88
  4. Step 4: Simplify right side
    270,927.56x = 354,601,045,385.02
  5. Step 5: Solve for x
    x = 354,601,045,385.02/270,927.56
  6. Step 6: Final answer
    x = 1,308,840.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.