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Finding the Third Proportional to 262,740 and 416,106

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Solution

The third proportional to 262,740 and 416,106 is: 658,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,740 : 416,106 = 416,106 : x
  2. Step 2: Convert to fraction form
    262,740/416,106 = 416,106/x
  3. Step 3: Cross multiply
    262,740x = 416,106 × 416,106
  4. Step 4: Simplify right side
    262,740x = 173,144,203,236
  5. Step 5: Solve for x
    x = 173,144,203,236/262,740
  6. Step 6: Final answer
    x = 658,994.46

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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.