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Finding the Third Proportional to 330,957,420 and 533,260,566

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Solution

The third proportional to 330,957,420 and 533,260,566 is: 859,224,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,957,420 : 533,260,566 = 533,260,566 : x
  2. Step 2: Convert to fraction form
    330,957,420/533,260,566 = 533,260,566/x
  3. Step 3: Cross multiply
    330,957,420x = 533,260,566 × 533,260,566
  4. Step 4: Simplify right side
    330,957,420x = 284,366,831,250,640,352
  5. Step 5: Solve for x
    x = 284,366,831,250,640,352/330,957,420
  6. Step 6: Final answer
    x = 859,224,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.