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Finding the Third Proportional to 430,213.50 and 665,804.25

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Solution

The third proportional to 430,213.50 and 665,804.25 is: 1,030,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,213.50 : 665,804.25 = 665,804.25 : x
  2. Step 2: Convert to fraction form
    430,213.50/665,804.25 = 665,804.25/x
  3. Step 3: Cross multiply
    430,213.50x = 665,804.25 × 665,804.25
  4. Step 4: Simplify right side
    430,213.50x = 443,295,299,318.06
  5. Step 5: Solve for x
    x = 443,295,299,318.06/430,213.50
  6. Step 6: Final answer
    x = 1,030,407.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.