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Finding the Third Proportional to 285,059.50 and 619,735

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Solution

The third proportional to 285,059.50 and 619,735 is: 1,347,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059.50 : 619,735 = 619,735 : x
  2. Step 2: Convert to fraction form
    285,059.50/619,735 = 619,735/x
  3. Step 3: Cross multiply
    285,059.50x = 619,735 × 619,735
  4. Step 4: Simplify right side
    285,059.50x = 384,071,470,225
  5. Step 5: Solve for x
    x = 384,071,470,225/285,059.50
  6. Step 6: Final answer
    x = 1,347,337.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.