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Finding the Third Proportional to 290,827.50 and 436,548.75

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Solution

The third proportional to 290,827.50 and 436,548.75 is: 655,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,827.50 : 436,548.75 = 436,548.75 : x
  2. Step 2: Convert to fraction form
    290,827.50/436,548.75 = 436,548.75/x
  3. Step 3: Cross multiply
    290,827.50x = 436,548.75 × 436,548.75
  4. Step 4: Simplify right side
    290,827.50x = 190,574,811,126.56
  5. Step 5: Solve for x
    x = 190,574,811,126.56/290,827.50
  6. Step 6: Final answer
    x = 655,284.70

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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.