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Finding the Third Proportional to 255,616.88 and 553,543.88

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Solution

The third proportional to 255,616.88 and 553,543.88 is: 1,198,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,616.88 : 553,543.88 = 553,543.88 : x
  2. Step 2: Convert to fraction form
    255,616.88/553,543.88 = 553,543.88/x
  3. Step 3: Cross multiply
    255,616.88x = 553,543.88 × 553,543.88
  4. Step 4: Simplify right side
    255,616.88x = 306,410,821,550.02
  5. Step 5: Solve for x
    x = 306,410,821,550.02/255,616.88
  6. Step 6: Final answer
    x = 1,198,711.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.