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Finding the Third Proportional to 384,508,572 and 595,761,813

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Solution

The third proportional to 384,508,572 and 595,761,813 is: 923,079,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,508,572 : 595,761,813 = 595,761,813 : x
  2. Step 2: Convert to fraction form
    384,508,572/595,761,813 = 595,761,813/x
  3. Step 3: Cross multiply
    384,508,572x = 595,761,813 × 595,761,813
  4. Step 4: Simplify right side
    384,508,572x = 354,932,137,829,046,976
  5. Step 5: Solve for x
    x = 354,932,137,829,046,976/384,508,572
  6. Step 6: Final answer
    x = 923,079,909.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.