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Finding the Third Proportional to 249,208 and 531,036

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Solution

The third proportional to 249,208 and 531,036 is: 1,131,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,208 : 531,036 = 531,036 : x
  2. Step 2: Convert to fraction form
    249,208/531,036 = 531,036/x
  3. Step 3: Cross multiply
    249,208x = 531,036 × 531,036
  4. Step 4: Simplify right side
    249,208x = 281,999,233,296
  5. Step 5: Solve for x
    x = 281,999,233,296/249,208
  6. Step 6: Final answer
    x = 1,131,581.78

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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.