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Finding the Third Proportional to 386,529,584 and 585,420,792

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Solution

The third proportional to 386,529,584 and 585,420,792 is: 886,652,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,529,584 : 585,420,792 = 585,420,792 : x
  2. Step 2: Convert to fraction form
    386,529,584/585,420,792 = 585,420,792/x
  3. Step 3: Cross multiply
    386,529,584x = 585,420,792 × 585,420,792
  4. Step 4: Simplify right side
    386,529,584x = 342,717,503,705,907,264
  5. Step 5: Solve for x
    x = 342,717,503,705,907,264/386,529,584
  6. Step 6: Final answer
    x = 886,652,711.44

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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.