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Finding the Third Proportional to 232,815,692 and 506,965,684

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Solution

The third proportional to 232,815,692 and 506,965,684 is: 1,103,938,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,815,692 : 506,965,684 = 506,965,684 : x
  2. Step 2: Convert to fraction form
    232,815,692/506,965,684 = 506,965,684/x
  3. Step 3: Cross multiply
    232,815,692x = 506,965,684 × 506,965,684
  4. Step 4: Simplify right side
    232,815,692x = 257,014,204,753,587,840
  5. Step 5: Solve for x
    x = 257,014,204,753,587,840/232,815,692
  6. Step 6: Final answer
    x = 1,103,938,495.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.