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Finding the Third Proportional to 306,900,616.50 and 657,467,793

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Solution

The third proportional to 306,900,616.50 and 657,467,793 is: 1,408,481,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,900,616.50 : 657,467,793 = 657,467,793 : x
  2. Step 2: Convert to fraction form
    306,900,616.50/657,467,793 = 657,467,793/x
  3. Step 3: Cross multiply
    306,900,616.50x = 657,467,793 × 657,467,793
  4. Step 4: Simplify right side
    306,900,616.50x = 432,263,898,832,290,880
  5. Step 5: Solve for x
    x = 432,263,898,832,290,880/306,900,616.50
  6. Step 6: Final answer
    x = 1,408,481,689.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.