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Finding the Third Proportional to 291,913.88 and 373,005

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Solution

The third proportional to 291,913.88 and 373,005 is: 476,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,913.88 : 373,005 = 373,005 : x
  2. Step 2: Convert to fraction form
    291,913.88/373,005 = 373,005/x
  3. Step 3: Cross multiply
    291,913.88x = 373,005 × 373,005
  4. Step 4: Simplify right side
    291,913.88x = 139,132,730,025
  5. Step 5: Solve for x
    x = 139,132,730,025/291,913.88
  6. Step 6: Final answer
    x = 476,622.53

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.