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Finding the Third Proportional to 437,304 and 911,904

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Solution

The third proportional to 437,304 and 911,904 is: 1,901,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,304 : 911,904 = 911,904 : x
  2. Step 2: Convert to fraction form
    437,304/911,904 = 911,904/x
  3. Step 3: Cross multiply
    437,304x = 911,904 × 911,904
  4. Step 4: Simplify right side
    437,304x = 831,568,905,216
  5. Step 5: Solve for x
    x = 831,568,905,216/437,304
  6. Step 6: Final answer
    x = 1,901,580.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.