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Finding the Third Proportional to 234,312 and 511,026

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Solution

The third proportional to 234,312 and 511,026 is: 1,114,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,312 : 511,026 = 511,026 : x
  2. Step 2: Convert to fraction form
    234,312/511,026 = 511,026/x
  3. Step 3: Cross multiply
    234,312x = 511,026 × 511,026
  4. Step 4: Simplify right side
    234,312x = 261,147,572,676
  5. Step 5: Solve for x
    x = 261,147,572,676/234,312
  6. Step 6: Final answer
    x = 1,114,529.23

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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.