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Finding the Third Proportional to 433,701 and 676,782

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Solution

The third proportional to 433,701 and 676,782 is: 1,056,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,701 : 676,782 = 676,782 : x
  2. Step 2: Convert to fraction form
    433,701/676,782 = 676,782/x
  3. Step 3: Cross multiply
    433,701x = 676,782 × 676,782
  4. Step 4: Simplify right side
    433,701x = 458,033,875,524
  5. Step 5: Solve for x
    x = 458,033,875,524/433,701
  6. Step 6: Final answer
    x = 1,056,105.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.