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Finding the Third Proportional to 429,953,314 and 648,493,327

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Solution

The third proportional to 429,953,314 and 648,493,327 is: 978,114,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,953,314 : 648,493,327 = 648,493,327 : x
  2. Step 2: Convert to fraction form
    429,953,314/648,493,327 = 648,493,327/x
  3. Step 3: Cross multiply
    429,953,314x = 648,493,327 × 648,493,327
  4. Step 4: Simplify right side
    429,953,314x = 420,543,595,163,528,960
  5. Step 5: Solve for x
    x = 420,543,595,163,528,960/429,953,314
  6. Step 6: Final answer
    x = 978,114,556.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.