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Finding the Third Proportional to 291,448.50 and 463,428.75

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Solution

The third proportional to 291,448.50 and 463,428.75 is: 736,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,448.50 : 463,428.75 = 463,428.75 : x
  2. Step 2: Convert to fraction form
    291,448.50/463,428.75 = 463,428.75/x
  3. Step 3: Cross multiply
    291,448.50x = 463,428.75 × 463,428.75
  4. Step 4: Simplify right side
    291,448.50x = 214,766,206,326.56
  5. Step 5: Solve for x
    x = 214,766,206,326.56/291,448.50
  6. Step 6: Final answer
    x = 736,892.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.