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Finding the Third Proportional to 285,959.53 and 595,603.97

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Solution

The third proportional to 285,959.53 and 595,603.97 is: 1,240,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,959.53 : 595,603.97 = 595,603.97 : x
  2. Step 2: Convert to fraction form
    285,959.53/595,603.97 = 595,603.97/x
  3. Step 3: Cross multiply
    285,959.53x = 595,603.97 × 595,603.97
  4. Step 4: Simplify right side
    285,959.53x = 354,744,087,590.75
  5. Step 5: Solve for x
    x = 354,744,087,590.75/285,959.53
  6. Step 6: Final answer
    x = 1,240,539.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.