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Finding the Third Proportional to 295,686 and 452,398

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Solution

The third proportional to 295,686 and 452,398 is: 692,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,686 : 452,398 = 452,398 : x
  2. Step 2: Convert to fraction form
    295,686/452,398 = 452,398/x
  3. Step 3: Cross multiply
    295,686x = 452,398 × 452,398
  4. Step 4: Simplify right side
    295,686x = 204,663,950,404
  5. Step 5: Solve for x
    x = 204,663,950,404/295,686
  6. Step 6: Final answer
    x = 692,166.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.