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Finding the Third Proportional to 262,017 and 561,388.50

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Solution

The third proportional to 262,017 and 561,388.50 is: 1,202,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,017 : 561,388.50 = 561,388.50 : x
  2. Step 2: Convert to fraction form
    262,017/561,388.50 = 561,388.50/x
  3. Step 3: Cross multiply
    262,017x = 561,388.50 × 561,388.50
  4. Step 4: Simplify right side
    262,017x = 315,157,047,932.25
  5. Step 5: Solve for x
    x = 315,157,047,932.25/262,017
  6. Step 6: Final answer
    x = 1,202,811.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.