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Finding the Third Proportional to 264,360,746 and 572,640,340

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Solution

The third proportional to 264,360,746 and 572,640,340 is: 1,240,414,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,360,746 : 572,640,340 = 572,640,340 : x
  2. Step 2: Convert to fraction form
    264,360,746/572,640,340 = 572,640,340/x
  3. Step 3: Cross multiply
    264,360,746x = 572,640,340 × 572,640,340
  4. Step 4: Simplify right side
    264,360,746x = 327,916,958,995,315,584
  5. Step 5: Solve for x
    x = 327,916,958,995,315,584/264,360,746
  6. Step 6: Final answer
    x = 1,240,414,713.44

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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.