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Finding the Third Proportional to 209,938 and 452,132

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Solution

The third proportional to 209,938 and 452,132 is: 973,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938 : 452,132 = 452,132 : x
  2. Step 2: Convert to fraction form
    209,938/452,132 = 452,132/x
  3. Step 3: Cross multiply
    209,938x = 452,132 × 452,132
  4. Step 4: Simplify right side
    209,938x = 204,423,345,424
  5. Step 5: Solve for x
    x = 204,423,345,424/209,938
  6. Step 6: Final answer
    x = 973,731.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.