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Finding the Third Proportional to 269,706 and 591,252

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Solution

The third proportional to 269,706 and 591,252 is: 1,296,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,706 : 591,252 = 591,252 : x
  2. Step 2: Convert to fraction form
    269,706/591,252 = 591,252/x
  3. Step 3: Cross multiply
    269,706x = 591,252 × 591,252
  4. Step 4: Simplify right side
    269,706x = 349,578,927,504
  5. Step 5: Solve for x
    x = 349,578,927,504/269,706
  6. Step 6: Final answer
    x = 1,296,148.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.