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Finding the Third Proportional to 235,694,826 and 512,190,324

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Solution

The third proportional to 235,694,826 and 512,190,324 is: 1,113,044,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,694,826 : 512,190,324 = 512,190,324 : x
  2. Step 2: Convert to fraction form
    235,694,826/512,190,324 = 512,190,324/x
  3. Step 3: Cross multiply
    235,694,826x = 512,190,324 × 512,190,324
  4. Step 4: Simplify right side
    235,694,826x = 262,338,927,999,224,960
  5. Step 5: Solve for x
    x = 262,338,927,999,224,960/235,694,826
  6. Step 6: Final answer
    x = 1,113,044,916.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.