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Finding the Third Proportional to 379,532,478 and 573,342,480

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Solution

The third proportional to 379,532,478 and 573,342,480 is: 866,122,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,532,478 : 573,342,480 = 573,342,480 : x
  2. Step 2: Convert to fraction form
    379,532,478/573,342,480 = 573,342,480/x
  3. Step 3: Cross multiply
    379,532,478x = 573,342,480 × 573,342,480
  4. Step 4: Simplify right side
    379,532,478x = 328,721,599,372,550,400
  5. Step 5: Solve for x
    x = 328,721,599,372,550,400/379,532,478
  6. Step 6: Final answer
    x = 866,122,449.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.