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Finding the Third Proportional to 262,683 and 416,016

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Solution

The third proportional to 262,683 and 416,016 is: 658,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,683 : 416,016 = 416,016 : x
  2. Step 2: Convert to fraction form
    262,683/416,016 = 416,016/x
  3. Step 3: Cross multiply
    262,683x = 416,016 × 416,016
  4. Step 4: Simplify right side
    262,683x = 173,069,312,256
  5. Step 5: Solve for x
    x = 173,069,312,256/262,683
  6. Step 6: Final answer
    x = 658,852.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.