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Finding the Third Proportional to 355,755,301 and 770,892,674

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Solution

The third proportional to 355,755,301 and 770,892,674 is: 1,670,461,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755,301 : 770,892,674 = 770,892,674 : x
  2. Step 2: Convert to fraction form
    355,755,301/770,892,674 = 770,892,674/x
  3. Step 3: Cross multiply
    355,755,301x = 770,892,674 × 770,892,674
  4. Step 4: Simplify right side
    355,755,301x = 594,275,514,826,870,272
  5. Step 5: Solve for x
    x = 594,275,514,826,870,272/355,755,301
  6. Step 6: Final answer
    x = 1,670,461,446.83

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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.