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Finding the Third Proportional to 254,047.50 and 559,926

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Solution

The third proportional to 254,047.50 and 559,926 is: 1,234,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,047.50 : 559,926 = 559,926 : x
  2. Step 2: Convert to fraction form
    254,047.50/559,926 = 559,926/x
  3. Step 3: Cross multiply
    254,047.50x = 559,926 × 559,926
  4. Step 4: Simplify right side
    254,047.50x = 313,517,125,476
  5. Step 5: Solve for x
    x = 313,517,125,476/254,047.50
  6. Step 6: Final answer
    x = 1,234,088.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.