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Finding the Third Proportional to 254,893,728 and 393,600,510

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Solution

The third proportional to 254,893,728 and 393,600,510 is: 607,788,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,893,728 : 393,600,510 = 393,600,510 : x
  2. Step 2: Convert to fraction form
    254,893,728/393,600,510 = 393,600,510/x
  3. Step 3: Cross multiply
    254,893,728x = 393,600,510 × 393,600,510
  4. Step 4: Simplify right side
    254,893,728x = 154,921,361,472,260,096
  5. Step 5: Solve for x
    x = 154,921,361,472,260,096/254,893,728
  6. Step 6: Final answer
    x = 607,788,048.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.