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Finding the Third Proportional to 268,232 and 403,020

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Solution

The third proportional to 268,232 and 403,020 is: 605,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,232 : 403,020 = 403,020 : x
  2. Step 2: Convert to fraction form
    268,232/403,020 = 403,020/x
  3. Step 3: Cross multiply
    268,232x = 403,020 × 403,020
  4. Step 4: Simplify right side
    268,232x = 162,425,120,400
  5. Step 5: Solve for x
    x = 162,425,120,400/268,232
  6. Step 6: Final answer
    x = 605,539.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.