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Finding the Third Proportional to 619,405.50 and 902,143.50

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Solution

The third proportional to 619,405.50 and 902,143.50 is: 1,313,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,405.50 : 902,143.50 = 902,143.50 : x
  2. Step 2: Convert to fraction form
    619,405.50/902,143.50 = 902,143.50/x
  3. Step 3: Cross multiply
    619,405.50x = 902,143.50 × 902,143.50
  4. Step 4: Simplify right side
    619,405.50x = 813,862,894,592.25
  5. Step 5: Solve for x
    x = 813,862,894,592.25/619,405.50
  6. Step 6: Final answer
    x = 1,313,941.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.