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Finding the Third Proportional to 430.63 and 941.38

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Solution

The third proportional to 430.63 and 941.38 is: 2,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 941.38 = 941.38 : x
  2. Step 2: Convert to fraction form
    430.63/941.38 = 941.38/x
  3. Step 3: Cross multiply
    430.63x = 941.38 × 941.38
  4. Step 4: Simplify right side
    430.63x = 886,186.89
  5. Step 5: Solve for x
    x = 886,186.89/430.63
  6. Step 6: Final answer
    x = 2,057.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.