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Finding the Third Proportional to 206,030 and 427,854

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Solution

The third proportional to 206,030 and 427,854 is: 888,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,030 : 427,854 = 427,854 : x
  2. Step 2: Convert to fraction form
    206,030/427,854 = 427,854/x
  3. Step 3: Cross multiply
    206,030x = 427,854 × 427,854
  4. Step 4: Simplify right side
    206,030x = 183,059,045,316
  5. Step 5: Solve for x
    x = 183,059,045,316/206,030
  6. Step 6: Final answer
    x = 888,506.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.