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Finding the Third Proportional to 264,360,864 and 572,640,576

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Solution

The third proportional to 264,360,864 and 572,640,576 is: 1,240,415,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,360,864 : 572,640,576 = 572,640,576 : x
  2. Step 2: Convert to fraction form
    264,360,864/572,640,576 = 572,640,576/x
  3. Step 3: Cross multiply
    264,360,864x = 572,640,576 × 572,640,576
  4. Step 4: Simplify right side
    264,360,864x = 327,917,229,281,611,776
  5. Step 5: Solve for x
    x = 327,917,229,281,611,776/264,360,864
  6. Step 6: Final answer
    x = 1,240,415,182.19

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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.