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Finding the Third Proportional to 295,488 and 629,592

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Solution

The third proportional to 295,488 and 629,592 is: 1,341,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488 : 629,592 = 629,592 : x
  2. Step 2: Convert to fraction form
    295,488/629,592 = 629,592/x
  3. Step 3: Cross multiply
    295,488x = 629,592 × 629,592
  4. Step 4: Simplify right side
    295,488x = 396,386,086,464
  5. Step 5: Solve for x
    x = 396,386,086,464/295,488
  6. Step 6: Final answer
    x = 1,341,462.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.