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Finding the Third Proportional to 428,264 and 922,304

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Solution

The third proportional to 428,264 and 922,304 is: 1,986,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,264 : 922,304 = 922,304 : x
  2. Step 2: Convert to fraction form
    428,264/922,304 = 922,304/x
  3. Step 3: Cross multiply
    428,264x = 922,304 × 922,304
  4. Step 4: Simplify right side
    428,264x = 850,644,668,416
  5. Step 5: Solve for x
    x = 850,644,668,416/428,264
  6. Step 6: Final answer
    x = 1,986,262.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.