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Finding the Third Proportional to 326,559,326 and 705,067,204

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Solution

The third proportional to 326,559,326 and 705,067,204 is: 1,522,295,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,559,326 : 705,067,204 = 705,067,204 : x
  2. Step 2: Convert to fraction form
    326,559,326/705,067,204 = 705,067,204/x
  3. Step 3: Cross multiply
    326,559,326x = 705,067,204 × 705,067,204
  4. Step 4: Simplify right side
    326,559,326x = 497,119,762,156,377,600
  5. Step 5: Solve for x
    x = 497,119,762,156,377,600/326,559,326
  6. Step 6: Final answer
    x = 1,522,295,407.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.