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Finding the Third Proportional to 442,968 and 687,231

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Solution

The third proportional to 442,968 and 687,231 is: 1,066,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,968 : 687,231 = 687,231 : x
  2. Step 2: Convert to fraction form
    442,968/687,231 = 687,231/x
  3. Step 3: Cross multiply
    442,968x = 687,231 × 687,231
  4. Step 4: Simplify right side
    442,968x = 472,286,447,361
  5. Step 5: Solve for x
    x = 472,286,447,361/442,968
  6. Step 6: Final answer
    x = 1,066,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.