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Finding the Third Proportional to 229,665 and 506,958

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Solution

The third proportional to 229,665 and 506,958 is: 1,119,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665 : 506,958 = 506,958 : x
  2. Step 2: Convert to fraction form
    229,665/506,958 = 506,958/x
  3. Step 3: Cross multiply
    229,665x = 506,958 × 506,958
  4. Step 4: Simplify right side
    229,665x = 257,006,413,764
  5. Step 5: Solve for x
    x = 257,006,413,764/229,665
  6. Step 6: Final answer
    x = 1,119,049.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.