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Finding the Third Proportional to 433,703 and 676,785

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Solution

The third proportional to 433,703 and 676,785 is: 1,056,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,703 : 676,785 = 676,785 : x
  2. Step 2: Convert to fraction form
    433,703/676,785 = 676,785/x
  3. Step 3: Cross multiply
    433,703x = 676,785 × 676,785
  4. Step 4: Simplify right side
    433,703x = 458,037,936,225
  5. Step 5: Solve for x
    x = 458,037,936,225/433,703
  6. Step 6: Final answer
    x = 1,056,109.68

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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.