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Finding the Third Proportional to 305,668,723 and 671,386,897

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Solution

The third proportional to 305,668,723 and 671,386,897 is: 1,474,669,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668,723 : 671,386,897 = 671,386,897 : x
  2. Step 2: Convert to fraction form
    305,668,723/671,386,897 = 671,386,897/x
  3. Step 3: Cross multiply
    305,668,723x = 671,386,897 × 671,386,897
  4. Step 4: Simplify right side
    305,668,723x = 450,760,365,463,288,640
  5. Step 5: Solve for x
    x = 450,760,365,463,288,640/305,668,723
  6. Step 6: Final answer
    x = 1,474,669,573.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.