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Finding the Third Proportional to 617,583.75 and 1,320,784.50

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Solution

The third proportional to 617,583.75 and 1,320,784.50 is: 2,824,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,583.75 : 1,320,784.50 = 1,320,784.50 : x
  2. Step 2: Convert to fraction form
    617,583.75/1,320,784.50 = 1,320,784.50/x
  3. Step 3: Cross multiply
    617,583.75x = 1,320,784.50 × 1,320,784.50
  4. Step 4: Simplify right side
    617,583.75x = 1,744,471,695,440.25
  5. Step 5: Solve for x
    x = 1,744,471,695,440.25/617,583.75
  6. Step 6: Final answer
    x = 2,824,672.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.