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Finding the Third Proportional to 260,018 and 399,488

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Solution

The third proportional to 260,018 and 399,488 is: 613,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,018 : 399,488 = 399,488 : x
  2. Step 2: Convert to fraction form
    260,018/399,488 = 399,488/x
  3. Step 3: Cross multiply
    260,018x = 399,488 × 399,488
  4. Step 4: Simplify right side
    260,018x = 159,590,662,144
  5. Step 5: Solve for x
    x = 159,590,662,144/260,018
  6. Step 6: Final answer
    x = 613,767.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.