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Finding the Third Proportional to 254,512.13 and 533,810.25

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Solution

The third proportional to 254,512.13 and 533,810.25 is: 1,119,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,512.13 : 533,810.25 = 533,810.25 : x
  2. Step 2: Convert to fraction form
    254,512.13/533,810.25 = 533,810.25/x
  3. Step 3: Cross multiply
    254,512.13x = 533,810.25 × 533,810.25
  4. Step 4: Simplify right side
    254,512.13x = 284,953,383,005.06
  5. Step 5: Solve for x
    x = 284,953,383,005.06/254,512.13
  6. Step 6: Final answer
    x = 1,119,606.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.