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Finding the Third Proportional to 354,208,782 and 555,598,714

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Solution

The third proportional to 354,208,782 and 555,598,714 is: 871,491,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,208,782 : 555,598,714 = 555,598,714 : x
  2. Step 2: Convert to fraction form
    354,208,782/555,598,714 = 555,598,714/x
  3. Step 3: Cross multiply
    354,208,782x = 555,598,714 × 555,598,714
  4. Step 4: Simplify right side
    354,208,782x = 308,689,930,998,453,824
  5. Step 5: Solve for x
    x = 308,689,930,998,453,824/354,208,782
  6. Step 6: Final answer
    x = 871,491,466.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.