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Finding the Third Proportional to 260,946 and 404,046

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Solution

The third proportional to 260,946 and 404,046 is: 625,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,946 : 404,046 = 404,046 : x
  2. Step 2: Convert to fraction form
    260,946/404,046 = 404,046/x
  3. Step 3: Cross multiply
    260,946x = 404,046 × 404,046
  4. Step 4: Simplify right side
    260,946x = 163,253,170,116
  5. Step 5: Solve for x
    x = 163,253,170,116/260,946
  6. Step 6: Final answer
    x = 625,620.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.