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Finding the Third Proportional to 290,977.50 and 436,858.50

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Solution

The third proportional to 290,977.50 and 436,858.50 is: 655,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,977.50 : 436,858.50 = 436,858.50 : x
  2. Step 2: Convert to fraction form
    290,977.50/436,858.50 = 436,858.50/x
  3. Step 3: Cross multiply
    290,977.50x = 436,858.50 × 436,858.50
  4. Step 4: Simplify right side
    290,977.50x = 190,845,349,022.25
  5. Step 5: Solve for x
    x = 190,845,349,022.25/290,977.50
  6. Step 6: Final answer
    x = 655,876.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.