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Finding the Third Proportional to 249,206 and 531,032

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Solution

The third proportional to 249,206 and 531,032 is: 1,131,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,206 : 531,032 = 531,032 : x
  2. Step 2: Convert to fraction form
    249,206/531,032 = 531,032/x
  3. Step 3: Cross multiply
    249,206x = 531,032 × 531,032
  4. Step 4: Simplify right side
    249,206x = 281,994,985,024
  5. Step 5: Solve for x
    x = 281,994,985,024/249,206
  6. Step 6: Final answer
    x = 1,131,573.82

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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.