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Finding the Third Proportional to 253,921.50 and 542,826

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Solution

The third proportional to 253,921.50 and 542,826 is: 1,160,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,921.50 : 542,826 = 542,826 : x
  2. Step 2: Convert to fraction form
    253,921.50/542,826 = 542,826/x
  3. Step 3: Cross multiply
    253,921.50x = 542,826 × 542,826
  4. Step 4: Simplify right side
    253,921.50x = 294,660,066,276
  5. Step 5: Solve for x
    x = 294,660,066,276/253,921.50
  6. Step 6: Final answer
    x = 1,160,437.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.