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Finding the Third Proportional to 254,562.75 and 502,701.75

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Solution

The third proportional to 254,562.75 and 502,701.75 is: 992,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,562.75 : 502,701.75 = 502,701.75 : x
  2. Step 2: Convert to fraction form
    254,562.75/502,701.75 = 502,701.75/x
  3. Step 3: Cross multiply
    254,562.75x = 502,701.75 × 502,701.75
  4. Step 4: Simplify right side
    254,562.75x = 252,709,049,453.06
  5. Step 5: Solve for x
    x = 252,709,049,453.06/254,562.75
  6. Step 6: Final answer
    x = 992,718.10

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.