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Finding the Third Proportional to 443,651 and 681,938

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Solution

The third proportional to 443,651 and 681,938 is: 1,048,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,651 : 681,938 = 681,938 : x
  2. Step 2: Convert to fraction form
    443,651/681,938 = 681,938/x
  3. Step 3: Cross multiply
    443,651x = 681,938 × 681,938
  4. Step 4: Simplify right side
    443,651x = 465,039,435,844
  5. Step 5: Solve for x
    x = 465,039,435,844/443,651
  6. Step 6: Final answer
    x = 1,048,210.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.