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Finding the Third Proportional to 254,659.50 and 525,460.50

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Solution

The third proportional to 254,659.50 and 525,460.50 is: 1,084,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,659.50 : 525,460.50 = 525,460.50 : x
  2. Step 2: Convert to fraction form
    254,659.50/525,460.50 = 525,460.50/x
  3. Step 3: Cross multiply
    254,659.50x = 525,460.50 × 525,460.50
  4. Step 4: Simplify right side
    254,659.50x = 276,108,737,060.25
  5. Step 5: Solve for x
    x = 276,108,737,060.25/254,659.50
  6. Step 6: Final answer
    x = 1,084,227.12

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.