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Finding the Third Proportional to 209,466 and 452,142

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Solution

The third proportional to 209,466 and 452,142 is: 975,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,466 : 452,142 = 452,142 : x
  2. Step 2: Convert to fraction form
    209,466/452,142 = 452,142/x
  3. Step 3: Cross multiply
    209,466x = 452,142 × 452,142
  4. Step 4: Simplify right side
    209,466x = 204,432,388,164
  5. Step 5: Solve for x
    x = 204,432,388,164/209,466
  6. Step 6: Final answer
    x = 975,969.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.