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Finding the Third Proportional to 451,061,824.50 and 717,735,492

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Solution

The third proportional to 451,061,824.50 and 717,735,492 is: 1,142,070,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,061,824.50 : 717,735,492 = 717,735,492 : x
  2. Step 2: Convert to fraction form
    451,061,824.50/717,735,492 = 717,735,492/x
  3. Step 3: Cross multiply
    451,061,824.50x = 717,735,492 × 717,735,492
  4. Step 4: Simplify right side
    451,061,824.50x = 515,144,236,476,482,048
  5. Step 5: Solve for x
    x = 515,144,236,476,482,048/451,061,824.50
  6. Step 6: Final answer
    x = 1,142,070,129.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.