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Finding the Third Proportional to 286,988 and 446,884

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Solution

The third proportional to 286,988 and 446,884 is: 695,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,988 : 446,884 = 446,884 : x
  2. Step 2: Convert to fraction form
    286,988/446,884 = 446,884/x
  3. Step 3: Cross multiply
    286,988x = 446,884 × 446,884
  4. Step 4: Simplify right side
    286,988x = 199,705,309,456
  5. Step 5: Solve for x
    x = 199,705,309,456/286,988
  6. Step 6: Final answer
    x = 695,866.41

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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.