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Finding the Third Proportional to 254,866.50 and 595,248.75

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Solution

The third proportional to 254,866.50 and 595,248.75 is: 1,390,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,866.50 : 595,248.75 = 595,248.75 : x
  2. Step 2: Convert to fraction form
    254,866.50/595,248.75 = 595,248.75/x
  3. Step 3: Cross multiply
    254,866.50x = 595,248.75 × 595,248.75
  4. Step 4: Simplify right side
    254,866.50x = 354,321,074,376.56
  5. Step 5: Solve for x
    x = 354,321,074,376.56/254,866.50
  6. Step 6: Final answer
    x = 1,390,222.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.