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Finding the Third Proportional to 249,194 and 531,009

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Solution

The third proportional to 249,194 and 531,009 is: 1,131,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,194 : 531,009 = 531,009 : x
  2. Step 2: Convert to fraction form
    249,194/531,009 = 531,009/x
  3. Step 3: Cross multiply
    249,194x = 531,009 × 531,009
  4. Step 4: Simplify right side
    249,194x = 281,970,558,081
  5. Step 5: Solve for x
    x = 281,970,558,081/249,194
  6. Step 6: Final answer
    x = 1,131,530.29

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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.