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Finding the Third Proportional to 399,673,634 and 599,510,410

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Solution

The third proportional to 399,673,634 and 599,510,410 is: 899,265,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,673,634 : 599,510,410 = 599,510,410 : x
  2. Step 2: Convert to fraction form
    399,673,634/599,510,410 = 599,510,410/x
  3. Step 3: Cross multiply
    399,673,634x = 599,510,410 × 599,510,410
  4. Step 4: Simplify right side
    399,673,634x = 359,412,731,698,368,128
  5. Step 5: Solve for x
    x = 359,412,731,698,368,128/399,673,634
  6. Step 6: Final answer
    x = 899,265,553.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.