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Finding the Third Proportional to 269,218,361 and 585,606,343

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Solution

The third proportional to 269,218,361 and 585,606,343 is: 1,273,816,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,361 : 585,606,343 = 585,606,343 : x
  2. Step 2: Convert to fraction form
    269,218,361/585,606,343 = 585,606,343/x
  3. Step 3: Cross multiply
    269,218,361x = 585,606,343 × 585,606,343
  4. Step 4: Simplify right side
    269,218,361x = 342,934,788,961,833,664
  5. Step 5: Solve for x
    x = 342,934,788,961,833,664/269,218,361
  6. Step 6: Final answer
    x = 1,273,816,494.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.