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Finding the Third Proportional to 233,644,794 and 498,562,231

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Solution

The third proportional to 233,644,794 and 498,562,231 is: 1,063,855,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644,794 : 498,562,231 = 498,562,231 : x
  2. Step 2: Convert to fraction form
    233,644,794/498,562,231 = 498,562,231/x
  3. Step 3: Cross multiply
    233,644,794x = 498,562,231 × 498,562,231
  4. Step 4: Simplify right side
    233,644,794x = 248,564,298,179,697,376
  5. Step 5: Solve for x
    x = 248,564,298,179,697,376/233,644,794
  6. Step 6: Final answer
    x = 1,063,855,495.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.