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Finding the Third Proportional to 269,308,872 and 581,664,360

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Solution

The third proportional to 269,308,872 and 581,664,360 is: 1,256,302,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,308,872 : 581,664,360 = 581,664,360 : x
  2. Step 2: Convert to fraction form
    269,308,872/581,664,360 = 581,664,360/x
  3. Step 3: Cross multiply
    269,308,872x = 581,664,360 × 581,664,360
  4. Step 4: Simplify right side
    269,308,872x = 338,333,427,694,209,600
  5. Step 5: Solve for x
    x = 338,333,427,694,209,600/269,308,872
  6. Step 6: Final answer
    x = 1,256,302,568.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.