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Finding the Third Proportional to 209,595 and 452,389

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Solution

The third proportional to 209,595 and 452,389 is: 976,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595 : 452,389 = 452,389 : x
  2. Step 2: Convert to fraction form
    209,595/452,389 = 452,389/x
  3. Step 3: Cross multiply
    209,595x = 452,389 × 452,389
  4. Step 4: Simplify right side
    209,595x = 204,655,807,321
  5. Step 5: Solve for x
    x = 204,655,807,321/209,595
  6. Step 6: Final answer
    x = 976,434.59

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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.