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Finding the Third Proportional to 291,607.75 and 416,999.75

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Solution

The third proportional to 291,607.75 and 416,999.75 is: 596,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,607.75 : 416,999.75 = 416,999.75 : x
  2. Step 2: Convert to fraction form
    291,607.75/416,999.75 = 416,999.75/x
  3. Step 3: Cross multiply
    291,607.75x = 416,999.75 × 416,999.75
  4. Step 4: Simplify right side
    291,607.75x = 173,888,791,500.06
  5. Step 5: Solve for x
    x = 173,888,791,500.06/291,607.75
  6. Step 6: Final answer
    x = 596,310.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.