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Finding the Third Proportional to 321,944,598 and 698,332,212

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Solution

The third proportional to 321,944,598 and 698,332,212 is: 1,514,757,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,944,598 : 698,332,212 = 698,332,212 : x
  2. Step 2: Convert to fraction form
    321,944,598/698,332,212 = 698,332,212/x
  3. Step 3: Cross multiply
    321,944,598x = 698,332,212 × 698,332,212
  4. Step 4: Simplify right side
    321,944,598x = 487,667,878,316,812,928
  5. Step 5: Solve for x
    x = 487,667,878,316,812,928/321,944,598
  6. Step 6: Final answer
    x = 1,514,757,139.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.