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Finding the Third Proportional to 258,976.50 and 565,986

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Solution

The third proportional to 258,976.50 and 565,986 is: 1,236,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,976.50 : 565,986 = 565,986 : x
  2. Step 2: Convert to fraction form
    258,976.50/565,986 = 565,986/x
  3. Step 3: Cross multiply
    258,976.50x = 565,986 × 565,986
  4. Step 4: Simplify right side
    258,976.50x = 320,340,152,196
  5. Step 5: Solve for x
    x = 320,340,152,196/258,976.50
  6. Step 6: Final answer
    x = 1,236,946.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.