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Finding the Third Proportional to 240,394 and 512,966

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Solution

The third proportional to 240,394 and 512,966 is: 1,094,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,394 : 512,966 = 512,966 : x
  2. Step 2: Convert to fraction form
    240,394/512,966 = 512,966/x
  3. Step 3: Cross multiply
    240,394x = 512,966 × 512,966
  4. Step 4: Simplify right side
    240,394x = 263,134,117,156
  5. Step 5: Solve for x
    x = 263,134,117,156/240,394
  6. Step 6: Final answer
    x = 1,094,595.19

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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.