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Finding the Third Proportional to 300,753,101 and 478,557,297

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Solution

The third proportional to 300,753,101 and 478,557,297 is: 761,478,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,101 : 478,557,297 = 478,557,297 : x
  2. Step 2: Convert to fraction form
    300,753,101/478,557,297 = 478,557,297/x
  3. Step 3: Cross multiply
    300,753,101x = 478,557,297 × 478,557,297
  4. Step 4: Simplify right side
    300,753,101x = 229,017,086,511,946,208
  5. Step 5: Solve for x
    x = 229,017,086,511,946,208/300,753,101
  6. Step 6: Final answer
    x = 761,478,720.42

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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.