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Finding the Third Proportional to 259,809.50 and 558,297

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Solution

The third proportional to 259,809.50 and 558,297 is: 1,199,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,809.50 : 558,297 = 558,297 : x
  2. Step 2: Convert to fraction form
    259,809.50/558,297 = 558,297/x
  3. Step 3: Cross multiply
    259,809.50x = 558,297 × 558,297
  4. Step 4: Simplify right side
    259,809.50x = 311,695,540,209
  5. Step 5: Solve for x
    x = 311,695,540,209/259,809.50
  6. Step 6: Final answer
    x = 1,199,708.02

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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.