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Finding the Third Proportional to 323,232 and 511,570

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Solution

The third proportional to 323,232 and 511,570 is: 809,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,232 : 511,570 = 511,570 : x
  2. Step 2: Convert to fraction form
    323,232/511,570 = 511,570/x
  3. Step 3: Cross multiply
    323,232x = 511,570 × 511,570
  4. Step 4: Simplify right side
    323,232x = 261,703,864,900
  5. Step 5: Solve for x
    x = 261,703,864,900/323,232
  6. Step 6: Final answer
    x = 809,647.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.