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Finding the Third Proportional to 268,462 and 375,524

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Solution

The third proportional to 268,462 and 375,524 is: 525,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,462 : 375,524 = 375,524 : x
  2. Step 2: Convert to fraction form
    268,462/375,524 = 375,524/x
  3. Step 3: Cross multiply
    268,462x = 375,524 × 375,524
  4. Step 4: Simplify right side
    268,462x = 141,018,274,576
  5. Step 5: Solve for x
    x = 141,018,274,576/268,462
  6. Step 6: Final answer
    x = 525,282.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.