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Finding the Third Proportional to 209,543 and 452,566

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Solution

The third proportional to 209,543 and 452,566 is: 977,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,543 : 452,566 = 452,566 : x
  2. Step 2: Convert to fraction form
    209,543/452,566 = 452,566/x
  3. Step 3: Cross multiply
    209,543x = 452,566 × 452,566
  4. Step 4: Simplify right side
    209,543x = 204,815,984,356
  5. Step 5: Solve for x
    x = 204,815,984,356/209,543
  6. Step 6: Final answer
    x = 977,441.31

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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.