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Finding the Third Proportional to 287,202 and 477,003

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Solution

The third proportional to 287,202 and 477,003 is: 792,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,202 : 477,003 = 477,003 : x
  2. Step 2: Convert to fraction form
    287,202/477,003 = 477,003/x
  3. Step 3: Cross multiply
    287,202x = 477,003 × 477,003
  4. Step 4: Simplify right side
    287,202x = 227,531,862,009
  5. Step 5: Solve for x
    x = 227,531,862,009/287,202
  6. Step 6: Final answer
    x = 792,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.