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Finding the Third Proportional to 230,966 and 506,026

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Solution

The third proportional to 230,966 and 506,026 is: 1,108,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,966 : 506,026 = 506,026 : x
  2. Step 2: Convert to fraction form
    230,966/506,026 = 506,026/x
  3. Step 3: Cross multiply
    230,966x = 506,026 × 506,026
  4. Step 4: Simplify right side
    230,966x = 256,062,312,676
  5. Step 5: Solve for x
    x = 256,062,312,676/230,966
  6. Step 6: Final answer
    x = 1,108,658.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.