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Finding the Third Proportional to 291,916.50 and 373,009.50

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Solution

The third proportional to 291,916.50 and 373,009.50 is: 476,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,916.50 : 373,009.50 = 373,009.50 : x
  2. Step 2: Convert to fraction form
    291,916.50/373,009.50 = 373,009.50/x
  3. Step 3: Cross multiply
    291,916.50x = 373,009.50 × 373,009.50
  4. Step 4: Simplify right side
    291,916.50x = 139,136,087,090.25
  5. Step 5: Solve for x
    x = 139,136,087,090.25/291,916.50
  6. Step 6: Final answer
    x = 476,629.75

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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.