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Finding the Third Proportional to 234,314 and 511,030

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Solution

The third proportional to 234,314 and 511,030 is: 1,114,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,314 : 511,030 = 511,030 : x
  2. Step 2: Convert to fraction form
    234,314/511,030 = 511,030/x
  3. Step 3: Cross multiply
    234,314x = 511,030 × 511,030
  4. Step 4: Simplify right side
    234,314x = 261,151,660,900
  5. Step 5: Solve for x
    x = 261,151,660,900/234,314
  6. Step 6: Final answer
    x = 1,114,537.16

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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.