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Finding the Third Proportional to 290,216.25 and 651,813.75

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Solution

The third proportional to 290,216.25 and 651,813.75 is: 1,463,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,216.25 : 651,813.75 = 651,813.75 : x
  2. Step 2: Convert to fraction form
    290,216.25/651,813.75 = 651,813.75/x
  3. Step 3: Cross multiply
    290,216.25x = 651,813.75 × 651,813.75
  4. Step 4: Simplify right side
    290,216.25x = 424,861,164,689.06
  5. Step 5: Solve for x
    x = 424,861,164,689.06/290,216.25
  6. Step 6: Final answer
    x = 1,463,946.85

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.