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Finding the Third Proportional to 249,189 and 531,003

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Solution

The third proportional to 249,189 and 531,003 is: 1,131,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,189 : 531,003 = 531,003 : x
  2. Step 2: Convert to fraction form
    249,189/531,003 = 531,003/x
  3. Step 3: Cross multiply
    249,189x = 531,003 × 531,003
  4. Step 4: Simplify right side
    249,189x = 281,964,186,009
  5. Step 5: Solve for x
    x = 281,964,186,009/249,189
  6. Step 6: Final answer
    x = 1,131,527.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.