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Finding the Third Proportional to 211,090 and 430,790

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Solution

The third proportional to 211,090 and 430,790 is: 879,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,090 : 430,790 = 430,790 : x
  2. Step 2: Convert to fraction form
    211,090/430,790 = 430,790/x
  3. Step 3: Cross multiply
    211,090x = 430,790 × 430,790
  4. Step 4: Simplify right side
    211,090x = 185,580,024,100
  5. Step 5: Solve for x
    x = 185,580,024,100/211,090
  6. Step 6: Final answer
    x = 879,151.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.