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Finding the Third Proportional to 264,360,744 and 572,640,336

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Solution

The third proportional to 264,360,744 and 572,640,336 is: 1,240,414,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,360,744 : 572,640,336 = 572,640,336 : x
  2. Step 2: Convert to fraction form
    264,360,744/572,640,336 = 572,640,336/x
  3. Step 3: Cross multiply
    264,360,744x = 572,640,336 × 572,640,336
  4. Step 4: Simplify right side
    264,360,744x = 327,916,954,414,192,896
  5. Step 5: Solve for x
    x = 327,916,954,414,192,896/264,360,744
  6. Step 6: Final answer
    x = 1,240,414,705.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.