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Finding the Third Proportional to 259,048 and 557,461.75

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Solution

The third proportional to 259,048 and 557,461.75 is: 1,199,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,048 : 557,461.75 = 557,461.75 : x
  2. Step 2: Convert to fraction form
    259,048/557,461.75 = 557,461.75/x
  3. Step 3: Cross multiply
    259,048x = 557,461.75 × 557,461.75
  4. Step 4: Simplify right side
    259,048x = 310,763,602,713.06
  5. Step 5: Solve for x
    x = 310,763,602,713.06/259,048
  6. Step 6: Final answer
    x = 1,199,637.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.