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Finding the Third Proportional to 429,953,312 and 648,493,324

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Solution

The third proportional to 429,953,312 and 648,493,324 is: 978,114,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,953,312 : 648,493,324 = 648,493,324 : x
  2. Step 2: Convert to fraction form
    429,953,312/648,493,324 = 648,493,324/x
  3. Step 3: Cross multiply
    429,953,312x = 648,493,324 × 648,493,324
  4. Step 4: Simplify right side
    429,953,312x = 420,543,591,272,568,960
  5. Step 5: Solve for x
    x = 420,543,591,272,568,960/429,953,312
  6. Step 6: Final answer
    x = 978,114,552.29

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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.