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Finding the Third Proportional to 233,259.75 and 491,420.25

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Solution

The third proportional to 233,259.75 and 491,420.25 is: 1,035,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,259.75 : 491,420.25 = 491,420.25 : x
  2. Step 2: Convert to fraction form
    233,259.75/491,420.25 = 491,420.25/x
  3. Step 3: Cross multiply
    233,259.75x = 491,420.25 × 491,420.25
  4. Step 4: Simplify right side
    233,259.75x = 241,493,862,110.06
  5. Step 5: Solve for x
    x = 241,493,862,110.06/233,259.75
  6. Step 6: Final answer
    x = 1,035,300.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.