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Finding the Third Proportional to 269,302,584 and 588,993,552

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Solution

The third proportional to 269,302,584 and 588,993,552 is: 1,288,191,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,302,584 : 588,993,552 = 588,993,552 : x
  2. Step 2: Convert to fraction form
    269,302,584/588,993,552 = 588,993,552/x
  3. Step 3: Cross multiply
    269,302,584x = 588,993,552 × 588,993,552
  4. Step 4: Simplify right side
    269,302,584x = 346,913,404,297,576,704
  5. Step 5: Solve for x
    x = 346,913,404,297,576,704/269,302,584
  6. Step 6: Final answer
    x = 1,288,191,888.64

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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.