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Finding the Third Proportional to 254,893,809 and 393,600,648

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Solution

The third proportional to 254,893,809 and 393,600,648 is: 607,788,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,893,809 : 393,600,648 = 393,600,648 : x
  2. Step 2: Convert to fraction form
    254,893,809/393,600,648 = 393,600,648/x
  3. Step 3: Cross multiply
    254,893,809x = 393,600,648 × 393,600,648
  4. Step 4: Simplify right side
    254,893,809x = 154,921,470,106,019,904
  5. Step 5: Solve for x
    x = 154,921,470,106,019,904/254,893,809
  6. Step 6: Final answer
    x = 607,788,281.38

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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.