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Finding the Third Proportional to 434,905.50 and 899,644.50

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Solution

The third proportional to 434,905.50 and 899,644.50 is: 1,861,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,905.50 : 899,644.50 = 899,644.50 : x
  2. Step 2: Convert to fraction form
    434,905.50/899,644.50 = 899,644.50/x
  3. Step 3: Cross multiply
    434,905.50x = 899,644.50 × 899,644.50
  4. Step 4: Simplify right side
    434,905.50x = 809,360,226,380.25
  5. Step 5: Solve for x
    x = 809,360,226,380.25/434,905.50
  6. Step 6: Final answer
    x = 1,861,002.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.