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Finding the Third Proportional to 430,960.50 and 937,311.75

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Solution

The third proportional to 430,960.50 and 937,311.75 is: 2,038,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,960.50 : 937,311.75 = 937,311.75 : x
  2. Step 2: Convert to fraction form
    430,960.50/937,311.75 = 937,311.75/x
  3. Step 3: Cross multiply
    430,960.50x = 937,311.75 × 937,311.75
  4. Step 4: Simplify right side
    430,960.50x = 878,553,316,688.06
  5. Step 5: Solve for x
    x = 878,553,316,688.06/430,960.50
  6. Step 6: Final answer
    x = 2,038,593.60

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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.