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Finding the Third Proportional to 395,944,230 and 599,012,454

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Solution

The third proportional to 395,944,230 and 599,012,454 is: 906,228,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,944,230 : 599,012,454 = 599,012,454 : x
  2. Step 2: Convert to fraction form
    395,944,230/599,012,454 = 599,012,454/x
  3. Step 3: Cross multiply
    395,944,230x = 599,012,454 × 599,012,454
  4. Step 4: Simplify right side
    395,944,230x = 358,815,920,047,102,144
  5. Step 5: Solve for x
    x = 358,815,920,047,102,144/395,944,230
  6. Step 6: Final answer
    x = 906,228,435.37

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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.