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Finding the Third Proportional to 262,464 and 416,736

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Solution

The third proportional to 262,464 and 416,736 is: 661,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,464 : 416,736 = 416,736 : x
  2. Step 2: Convert to fraction form
    262,464/416,736 = 416,736/x
  3. Step 3: Cross multiply
    262,464x = 416,736 × 416,736
  4. Step 4: Simplify right side
    262,464x = 173,668,893,696
  5. Step 5: Solve for x
    x = 173,668,893,696/262,464
  6. Step 6: Final answer
    x = 661,686.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.